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. 

3. 0 < y < $\mathrm{\pi }$

4. 

Question 14:

1. $\mathrm{\pi }$

2. 

3. 

4. 

Question 15:

Prove the following

Question 16:

Prove the following

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 28:

Question 29:

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

Question 33:

Question 34:

1. 

2. 

3. 

4. 1

Question 35:

1. $\mathrm{\pi }$

2. 

3. 0

4. 

Question 36:

If sin^–1 x = y, then :

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

2. 

3. 0 < y < $\mathrm{\pi }$

4. 

Question 37:

1. $\mathrm{\pi }$

2. 

3. 

4. 

Question 38:

Question 39:

1. 

2. 

3. 

4. 1

Question 40:

1. $\mathrm{\pi }$

2. 

3. 0

4. 

Question 41:

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

Question 42:

1. 

2. 

3. 0

4. 

Question 43: