# NCERT Class 12-Mathematics: Chapter –2 Inverse Trigonometric Function Part 8

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**Question 41:**

The value of is

(A)

(B)

(C)

(D)

**Answer:**

(B) Is the correct answer.

.

## 2.3 EXERCISE

### Short Answer (S.A)

**Question 1:**

Find the value of

**Answer:**

We have:

[As we know that the range of the principal value branch of and .]

Hence, the value of

**Question 2:**

Evaluate

**Answer:**

Let , then

We know that the range of the principal value branch of and

SO,

Therefore, value of is

**Question 3:**

Prove that

**Answer:**

LHS

**Question 4:**

Find the value of .

**Answer:**

We have

[As we know that the range of the principal value branch of is ]

Hence, the value of