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

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**Question 2:**

Evaluate .

**Answer:**

**Question 3:**

Find the value of .

**Answer:**

**Question 4:**

Find the value of

**Answer:**

**Question 5:**

Evaluate .

**Answer:**

Since , .

**Question 6:**

Evaluate: .

**Answer:**

.

**Question 7:**

Evaluate:

**Answer:**

**Question 8:**

Prove that tate with reason whether the equality is valid for all values of .

**Answer:**

Let Then

Or,

So

The equality is valid for all values of since and are true for .

**Question 9:**

Find the value of

**Answer:**

Let where . So,

Which gives

Therefore,

**Question 10:**

Find value of and hence evaluate

**Answer:**

Let , then *,* where

Therefore,

**Question 11:**

Find the value of

**Answer:**

Let . Then

Now

**Question 12:**

Evaluate

**Answer:**