# NCERT Solutions for Class 12 Maths Exercise 2.2

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## NCERT Solutions for Class 12 Maths Exercise 2.2

### Inverse Trigonometric Functions Solutions

#### Q 1) Prove Answer) To prove: Let x = sinθ. Then, sin-1 x = 0

We have,

R.H.S. = #### Q 2) Prove To Prove Let x = cosθ. Then, cos−1 x =θ.

We have,

Proved.

#### Q 13) Find the value of

Let x = tan θ. Then, θ = tan−1 x.

Let y = tan Φ. Then, Φ = tan−1 y.

#### Q 14) If , then find the value of x.

On squaring both sides, we get:

#### Q 16) Find the values of We know that sin−1 (sin x) = x if , which is the principal value branch of sin−1x.

#### Q 17) Find the values of We know that tan−1 (tan x) = x if , which is the principal value branch of tan−1x.

Q 18) Find the values of #### Q 19) Find the values of is equal to

Answer) We know that cos−1 (cos x) = x if , which is the principal value branch of cos −1x.