# NCERT Class 12-Mathematics: Chapter – 2 Inverse Trigonometric Function Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 18**:

Find the values of which satisfy the equation

**Answer**:

From the given equation, we have

**Question 19**:

Solve the equation

**Answer**:

From the given equation, we have

Squaring, we get

Note that is the only root of the equation as dose not satisfy it

**Question 20**:

Show that

**Answer**:

## Objective Type Questions

### Choose the Correct Answer from the Given Four Options in Each of the Examples 21 to 41

**Question 21**:

Which of the following corresponds to the principal value branch of tan – 1?

(A)

(B)

(C)

(D)

**Answer**:

(A) Is the correct answer.

**Question 12**:

The principal value branch of is

(A)

(B)

(C)

(D)

**Answer**:

(B) Is the correct answer.

**Question 23**:

One branch of other than the principal value branch corresponds to

(A)

(B)

(C)

(D)

**Answer**:

(D) Is the correct answer.