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RD Sharma Solution CLass 12 Mathematics Chapter 4 Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.1

Question 1

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Find the value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Find the domain of each of the following functions:

F(x) = sin-1x2

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 10

Find the domain of each of the following functions:

F(x) = sin-1x + sin x

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 11

Find the domain of each of the following functions:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 12

Find the domain of each of the following functions:

f(x) = sin-1x + sin-12x

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 13

If sin-1x + sin-1y + sin-1z
+ sin-1t = 2
π, then find the
value x2 + y2 + z2 + t2.

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.10

Question 1

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

[ ∏/2 – sin-1
x ] + [ ∏/2 – sin-1y ] = ∏/4

sin-1x
+ sin-1y = ∏ – ∏/4

sin-1x
+ sin-1y = 3∏/4

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

On adding both
the equation

Π/2 + sin-1y –
cos-1y = Π/2

[ Π/2-
cos-1y ] – cos-1y = 0

cos-1y
=
Π/4

y = 1/√2

on putting y=1/√2
in 2nd equation

cos-1x
Π/4
= Π/6

cos-1x
=
Π/4
+ Π/6

x = cos(Π/4 + Π/6)

x = cos(Π/4)cos(Π/6)-sin(Π/4)sin(Π/6)

x = (√3-1)/2√2

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

cot(z)
= 0 means z = Π/2, 3Π/2,
5Π/2
………..

cos-1(3/5)
+ sin-1x = +
Π/2

sin-1x
= +
Π/2
– cos-1(3/5)

sin-1x
= + sin-1(3/5)

x = sin(
+ sin-1(3/5)) = (-1)n sin (sin-1(3/5))

x = (-1)n
3/5

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

[ Π/2
– cos-1x ]2 + (cos-1x)2 =17Π2/36

Π2/4 – Πcos-1x
+ 2(cos-1x)2 =17Π2/36

Let, cos-1x=u

2u2
Πu + Π2/4
– 17Π2/36
= 0

2u2
Πu – 2Π2/9
= 0

18u2
– 9
Πu
-2Π2
= 0

On factorizing

18u2
– 12
Πu
+ 3Πu
-2Π2
= 0

6u( 3u -2Π
) + Π(
3u -2Π
) = 0

( 3u -2Π
)(6u + Π)
= 0

u = –Π/6,
2Π/3

i.e. cos-1x
= –
Π/6,
2Π/3

but range of cos-1x
is [0, π]

x = cos(Π/2 + Π/6)

x = -1/2

Question 10

Solve:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 10

sin-1(1/5)
+ [
Π/2
– sin-1x ] = sin-11

sin-1(1/5)
+
Π/2
– sin-1x = Π/2

sin-1(1/5)
– sin-1x = 0

x = 1/5

Question 11

Solve:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Π/2 – cos-1x = Π/6
+ cos-1x

Π/3 = 2cos-1x

cos-1x
=
Π/6

x = √3/2

 

Question 12

Solve:

4 sin-1x = Π
– cos-1x

Solution 12

4sin-1x+cos-1x=Π

3sin-1x+sin-1x+cos-1x=Π

3sin-1x=Π/2 [sin-1x+cos-1x=Π/2]

sin-1x=Π/6

x = sinΠ/6=0.5

Question 13

Solve:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 13

tan-1x+cot-1x=Π/2
so the above equation reduces to

cot-1x
=2
Π/3-Π/2
=Π/6

x= cotΠ/6
=√3

Question 14

Solve:

5 tan-1x + 3 cot-1x = 2Π

Solution 14

 2tan-1x+3(Π/2)=2Π

2tan-1x=2Π-3Π/2=Π/3

tan-1x=Π/6

x=tanΠ/6=1/√3

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.11

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Prove the following result:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

 

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Solve the following equations for x :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 12

Solve the following equations for x:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 13

Solve the following equations for x:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 14

Sum the following series:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.12

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Solve the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Solve the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.13

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Solve the equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Solve :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Prove that:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.14

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Evaluate the following

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 14

Prove the following result :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Thus, the solution is Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.2

Question 1

Find the domain of definition of f(x) = cos-1 (x2
– 4).

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Find the domain of f(x) = 2cos-12x + sin-1 x.

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Find the domain of f(x) = cos-1x + cos
x.

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Find the principal value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Find the principal value of each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 10

?Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.3

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

For the principal values, evaluate each of the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Evaluate each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Evaluate each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.4

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Find the domain of

sec-1 (3x – 1)

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Find the domain of

sec-1 x – tan-1x

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.5

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Find the principal value of each of the following:

cosec-1 (-2)

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Find the set of values of

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

For the principal value evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

For the principal value evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

For the principal value evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

For the principal value evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.6

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Find the principal value of each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Find the domain of f(x) = cot x + cot-1 x.

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Evaluate each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Evaluate each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Evaluate each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Evaluate each of the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.7

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Evaluate the following :

sin-1(sin 3)

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Evaluate the following :

sin-1 (sin 4)

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Evaluate the following :

sin-1 (sin 12)

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 13

Evaluate the following :

cos-1 (cos 3)

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 14

Evaluate the following :

cos-1 (cos 4)

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 15

Evaluate the following :

cos-1 (cos 5)

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 16

Evaluate the following :

cos-1 (cos 12)

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 17

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 18

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 20

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 21

Evaluate the following :

tan-1 (tan 1)

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 22

Evaluate the following :

tan-1 (tan 2)

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 23

Evaluate the following :

tan-1 (tan 4)

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 24

Evaluate the following :

tan-1 (tan 12)

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 25

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 26

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 27

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 28

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 29

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 30

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 31

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 32

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 33

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 34

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 35

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 36

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 37

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 38

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 39

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 40

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 41

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 42

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 43

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 44

Evaluate the following :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 52

Write each of the following in the simplest form:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 52

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 53

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 53

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 54

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 54

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.8

Question 1

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 10

Prove the following result:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 11

Prove the following result:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 12

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 13

Evaluate the following:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 14

Solve:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 15

Solve:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.9

Question 1

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Evaluate:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions
Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise MCQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. sin 2α

b. sin α

c. cos

d. cos α

Solution 1

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b.  Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 2

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 3

2 tan-1 {cosec(tan-1x) – tan (cot-1x)} is equal to

a. cot-1x

b. cot-1Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. tan-1x

d. None of these

Solution 3

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. sin2α

b. cos2α

c. tan2α

d. cot2α

Solution 4

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 5

The positive integral solution of the equation Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. x = 1, y = 2

b. x = 2, y = 1

c. x = 3, y = 2

d. x = -2, y = -1

Solution 5

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. None of these

Solution 6

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. x

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. None of these

Solution 7

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 8

The number of solutions of the equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 2

b. 3

c. 1

d. None of these

Solution 8

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 4α = 3β

b. 3α = 4 β

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. None of these

Solution 9

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 10

The number of real solutions of the equation Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 0

b. 1

c. 2

d. Infinite

Solution 10

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 11

If x < 0, y < 0 such that xy = 1, then tan-1x + tan-1y equals

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. – π

d. None of these

Solution 11

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Tan θ

d. Cot θ

Solution 12

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 36

b. 36 – 36 cos θ

c. 18 – 18 cos θ

d. 18 + 18 cos θ

Solution 13

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 14

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 15

Let f(x) = ecos-1{sin(x+π/3)}. Then, f(8π/9) =

a. e5π/18

b. e13π/18

c. e-2π/18

d. None of these

Solution 15

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 0

b. 1/2

c. -1

d. none of these

Solution 16

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 36

b. -36 sin2θ

c. 36 sin2θ

d. 36cos2θ

Solution 17

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 18

If tan-13 + tan-1x= tan-18, then x =

a. 5

b. 1/5

c. 5/14

d. 14/5

Solution 18

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 19

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. 0

Solution 20

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 21

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 22

If θ = sin-1 {sin (-600°)}, then one of the possible values of θ is

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 22

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 23

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 24

If 4 cos-1x + sin-1 x = π, then the value of x is

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 24

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 0

b. -2

c. 1

d. 2

Solution 25

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 26

If cos -1 x > sin-1x, then

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. X > 0

Solution 26

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 27

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 28

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 7

b. 6

c. 5

d. None of these

Solution 29

Correct option:(a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 30

If tan-1(cotθ) = 2θ, then θ =

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. none of these

Solution 30

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 0

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. a

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 31

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 32

The value of sin (2(tan-10.75)) is equal to

a. 0.75

b. 1.5

c. 0.96

d. Sin-11.5

Solution 32

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. 4tan-1x

b. 0

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. π

Solution 33

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 34

The domain of cos-1(x2 – 4) is

a. [3, 5]

b. [-1, 1]

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 34

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

a. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

c. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

d. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

Solution 35

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Inverse Trigonometric Functions

 

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