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RD Sharma Solution Class 11 Mathematics Chapter 10 Sine and Cosine Formulae and Their Applications

Chapter 10 – Sine and Cosine Formulae and Their Applications Exercise Ex. 10.1

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 11

In any triangle ABC, prove the following:

b sinB – c sinC = a sin (B – C)

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 12

In any triangle ABC, prove the following:

a2sin(B – C)= (b2 –c2)sinA

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 14

In any triangle ABC, prove the following:

a(sinB – sinC) + b (sinC – sinA) + c (sinA – sinB) = 0

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 16

In any triangle ABC, prove the following:

a2(cos2B – cos2C) + b2(cos2C – cos2A) + c2(cos2A –cos2B) = 0

Solution 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 17

In any triangle ABC, prove the following:

b cosB + c cosC = a cos(B – C)

Solution 17

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 19

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 19

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 20

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 20

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 21

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 21

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 22

In any triangle ABC, prove the following:

a cosA + b cosB + c cosC= 2b sinA sinC= 2c sinA sinB

Solution 22

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 23

a(cos B cosC + cosA)= b(cos C cosA + cosB)= c(cos A cosB + cosC)

Solution 23

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 24

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 24

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 25

In ΔABC prove that, if Ө be any angle, then b cosӨ = c cos(A – Ө) + a cos(C + Ө)

Solution 25

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 26

In a ΔABC, if sin2A + sin2B = sin2C, show that the triangle is right angled.

Solution 26

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 27

In any ΔABC, if a2, b2, c2 are in A.P., prove that cot A, cot B and cot C are also in A.P.

Solution 27

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 28

The upper part of a broken over by the wind makes an angle of 300 with the ground and the distance from the root to the point where the top of the tree touches the ground is 15m. Using sine rule, find the height of the tree.

Solution 28

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 29

At the foot of a mountain the elevation of its summit is 450; after ascending 1000m towards the mountain up a slope of 300 inclination, the elevation is found to be 600. Find the height of the mountain.

Solution 29

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 30

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 30

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications.

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 31

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications 

Solution 31

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Chapter 10 – Sine and Cosine Formulae and Their Applications Exercise Ex. 10.2

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 5

b(c cos A – a cos C) = c2 –a2

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 6

C (a cos B – b cos A) = a2 – b2

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 7

2(bc cos A + ca cos B +ab cosC)= a2 + b2 + c2

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 11

In any DABC, prove the following:

a cos A + b cos B + c cosC = 2b sin A sin C

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 14

In a Δ ABC, prove that

sin3 A cos (B -C) + sin3B cos(C – A)+ sin3 C cos(A- B) = 3 sin A sin B sin C

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 17

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 17

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 19

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 19

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Chapter 10 – Sine and Cosine Formulae and Their Applications Exercise Ex. 10VSAQ

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 2

 

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 2

 

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 4

 

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Question 9

In any triangle ABC, find the value of a sin (B -C) + b sin (C – A) + c sin (A – B)

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

 

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Sine And Cosine Formulae And Their Applications

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