# NCERT Class 12-Mathematics: Chapter – 2 Inverse Trigonometric Function Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Long Answer (L. A.)

**Question 13**:

Prove that

**Answer**:

Let then

Thus

Therefore,

**Question 14**:

Prove that

**Answer**:

We have

**Question 15**:

Which is greater,

**Answer**:

From Fig. 2.1, we note that tan is an increasing function in the interval This gives

**Question 16**:

Find the value of

**Answer**:

Let and so that and .

Therefore,

**Question 17**:

Solve for

**Answer**:

From given equation, we have