# NCERT Solutions for Class 12 Mathemetics Chapter 2 - Inverse-Trigonometric Functions

##### Question 1:

Find the principal values of the following

##### Question 2:

Find the principal values of the following

##### Question 3:

Find the principal values of the following cosec–1(2)

##### Question 4:

Find the principal values of the following

##### Question 5:

Find the principal values of the following

##### Question 6:

Find the principal values of the following tan–1–1(– 1)

##### Question 7:

Find the principal values of the following

##### Question 8:

Find the principal values of the following

##### Question 9:

Find the principal values of the following

##### Question 10:

Find the principal values of the following

##### Question 11:

Find the value of the following

##### Question 12:

Find the value of the following

##### Question 13:

If sin–1 x = y, then :

1. 0$\le$ y$\le$ $\mathrm{\pi }$
2. 0 < y < $\mathrm{\pi }$

##### Question 14:

1. $\mathrm{\pi }$

##### Question 15:

Prove the following

Let sin−1 x = $\mathrm{\theta }$ so that x = sin $\mathrm{\theta }$.

##### Question 16:

Prove the following

Let cos−1 x = $\mathrm{\theta }$ so that x = cos $\mathrm{\theta }$.

##### Question 17:

Prove the following

##### Question 18:

Prove the following

##### Question 19:

Write the following functions in the simplest form :

##### Question 20:

Write the following functions in the simplest form :

##### Question 21:

Write the following functions in the simplest form :

##### Question 22:

Write the following functions in the simplest form :

##### Question 23:

Write the following functions in the simplest form :

##### Question 24:

Write the following functions in the simplest form :

##### Question 25:

Find the value of each of the following

##### Question 26:

Find the value of each of the following

##### Question 27:

Find the value of each of the following

##### Question 30:

Find the value of each of the expressions

##### Question 31:

Find the value of each of the expressions

##### Question 32:

Find the value of each of the expressions

1. 1

1

##### Question 35:

1. $\mathrm{\pi }$
2. 0

##### Question 36:

If sin–1 x = y, then :

1. 0$\le$ y$\le$ $\mathrm{\pi }$
2. 0 < y < $\mathrm{\pi }$

##### Question 37:

1. $\mathrm{\pi }$

1. 1

1

##### Question 40:

1. $\mathrm{\pi }$
2. 0

##### Question 41:

sin (tan–1 x), | x | < 1, is equal to :