RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2

These Solutions are part of RD Sharma Class 10 Solutions. Here we have given RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2

Other Exercises

Question 1.
If cos θ = \(\frac { 4 }{ 5 }\) , find all other trigonometric ratios of angle θ
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 1
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 2
Question 2.
If sin θ = \(\frac { 1 }{ \sqrt { 2 } }\) , find all other trigono­metric ratios of angle θ
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 3
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 4

Question 3.
If tan θ = \(\frac { 1 }{ \sqrt { 2 } }\), find the value of \(\frac { { cosec }^{ 2 }-{ sec }^{ 2 } }{ { cosec }^{ 2 }+cot^{ 2 } }\) 
Solution:
<RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 5
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 6

Question 4.
If tan θ = \(\frac { 3 }{ 4 }\), find the value of \(\frac { 1-cosheta }{ 1+cosheta }\) 
 (C.B.S.E. 1995)
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 7
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 8

Question 5.
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 9
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 10
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 11

Question 6.
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 12
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 13
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 14

Question 7.
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 15
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 16

Question 8.
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 17
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 18
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Question 9.
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 20
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 21
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 22

Question 10.
If \(\sqrt { 3 } \) tan θ = 3sin θ , find the value of sin2 θ  – cos2 θ .          (C.B.S.E. 2001)
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 23

Question 11.
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 24
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 25
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 26

Question 12.
If sin θ + cos θ = \(\sqrt { 2 } \)cos (90° – θ), find cot θ
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 27

Question 13.
If 2sin2 θ – cos2 θ = 2, then find the value of θ. [NCERT Exemplar]
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 28

Question 14.
If \(\sqrt { 3 } \) tan θ-1=0, find the value of sin2 – cos2 θ. [NCERT Exemplar]
Solution:
RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 29

Hope given RD Sharma Class 10 Solutions Chapter 11 Trigonometric Identities Ex 11.2 are helpful to complete your math homework.

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