RD Sharma Class 10 Solutions Chapter 6 Exercise 6.2

RD Sharma Class 10 Solutions Chapter 6 Exercise 6.2

RD Sharma Class 10 Solutions Trigonometric Identities Exercise 6.2

Question 1.
If cos θ = \(\frac { 4 }{ 5 }\) , find all other trigonometric ratios of angle θ
Solution:


Question 2.
If sin θ = \(\frac { 1 }{ \sqrt { 2 } }\) , find all other trigono­metric ratios of angle θ
Solution:

Question 3.
If tan θ = \(\frac { 1 }{ \sqrt { 2 } }\), find the value of \(\frac { { cosec }^{ 2 }-{ sec }^{ 2 } }{ { cosec }^{ 2 }+cot^{ 2 } }\)
Solution:
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Question 4.
If tan θ = \(\frac { 3 }{ 4 }\), find the value of \(\frac { 1-cosheta }{ 1+cosheta }\)
(C.B.S.E. 1995)
Solution:

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.
If \(\sqrt { 3 } \) tan θ = 3sin θ , find the value of sin ² θ  – cos ² θ .          (C.B.S.E. 2001)
Solution:

Question 11.

Solution:

Question 12.
If sin θ + cos θ = \(\sqrt { 2 } \)cos (90° – θ), find cot θ
Solution:

Question 13.
If 2sin ² θ – cos ² θ = 2, then find the value of θ. [NCERT Exemplar]
Solution:

Question 14.
If \(\sqrt { 3 } \) tan θ-1=0, find the value of sin ² – cos ² θ. [NCERT Exemplar]
Solution:

RD Sharma Class 10th Solutions Chapter 6 Exercise 6.2

RD Sharma Class 10 Solutions

• Chapter 6 Trigonometric Identities 6.1