# NCERT Class 12-Mathematics: Chapter –2 Inverse Trigonometric Function Part 3

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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