NCERT Solutions for Maths Class 12 Exercise 2.1

# NCERT Solutions for Maths Class 12 Exercise 2.1

NCERT Solutions for Maths Class 12 Exercise 2.1

## NCERT Solutions for Maths Class 12 Exercise 2.1

### Maths Class 12 Ex 2.1 Question 1 – 10.

Find the principal values of the following:
1.

2.

3.

4.

5.

6.
7.
8.

9.

10.

Solution:
1. Let
= y

Then,

The range of the principal values of sin-1 is (Ï€/2, Ï€/2).

### Maths Class 12 Ex 2.1 Question 11 – 12.

Find the values of the following:
11.

12.

Solution:
11.

We have tan-1 (1) = Ï€/4
Since the range of principal value of cos-1 is [0, Ï€].

### Maths Class 12 Ex 2.1 Question 13.

If sin-1 x = y, then
(A) 0 ≤ y ≤ Ï€
(B)

(C) 0 < y < Ï€
(D)

Solution:
The range of principal value of sin-1 is (Ï€/2, Ï€/2).
Therefore, if sin-1 x = y, then

Hence, option (B) is correct.

### Maths Class 12 Ex 2.1 Question 14.

is equal to
(A) Ï€
(B) –Ï€/3
(C) Ï€/3
(D) 2Ï€/3

Solution:

∴ The range of principal values of sec-1 is [0, Ï€] – {Ï€/2}.

Hence, option (B) is correct.