# RD Sharma Solution CLass 11 Mathematics Chapter 5 Trigonometric Functions

Chapter 5 – Trigonometric Functions Exercise Ex. 5.1

Question 1
Solution 1
Question 2

Solution 2

Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Prove that cosθ(tanθ+2)(2 tanθ+1)=2 secθ+5 sinθ

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

Question 1
Solution 1

Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6

Question 7
Solution 7
Question 8
Solution 8

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16

Solution 16

Question 17

Solution 17

Question 18
Solution 18
Question 19
Solution 19
Question 20

Solution 20

Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27

Solution 27

Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
Solution 39

## Chapter 5 – Trigonometric Functions Exercise Ex. 5VSAQ

Question 1

Write the maximum and minimum values
of.

Solution 1

Question 2

Write the maximum and minimum values of.

Solution 2

Question 3

Write the maximum value of.

Solution 3

Question 4

If, then write the value of .

Solution 4

Question 5

If, then write the value of.

Solution 5

Question 6

If, then write the value of.

Solution 6

Question 7

If, then write the value of.

Solution 7

Question 8

If, then write the value of.

Solution 8

The
maximum value for sin(x) is 1 for all x.

Question 9

.

Solution 9

Question 10

A circular wire of radius 15cm is
cut and bent so as to lie along the circumstance of a loop of radius 120cm.
Write the measure of the angle subtended by it at the centre of the loop.

Solution 10

The radius of circular wire is 15 cm.

The circumference of circular wire is.

The radius of loop is 120 cm.

The circumference of loop is.

The circumference of a circle covers
all the quadrants of the circle i.e. the angle subtended by it at the centre is.

The circular wire is cut and bent so as
to lie along the circumstance of the loop.

So, circumference of circular wire
covers

of
the circumference of the loop.

Therefore the angle subtended by the
circular wire is

.

Question 11

Write the value of

Solution 11

Question 12

Write the value of.

Solution 12

Question 13

If, then write the value of.

Solution 13

Question 14

If tan A + cot A=4,
then write the value of

tan4A + cot4A.

Solution 14

Question 15

Write the least value of.

Solution 15

So
the least value of is 2.

Question 16

If, then write the smallest interval in which the
value of x
lie.

Solution 16

Question 17

If, then write the value of .

Solution 17

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