# NCERT Class 12-Mathematics: Chapter – 2 Inverse Trigonometric Function Part 16 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get top class preparation for IMO-Level-2 right from your home: fully solved questions with step-by-step explanation- practice your way to success.

## Fill in the Blanks in Each of the Exercises 38 to 48

**Question 38**:

The principal value of is ________.

**Answer**:

**Question 39**:

The value of is ________.

**Answer**:

**Question 40**:

If , then value of is________.

**Answer**:

**Question 41**:

The set of values of is________.

**Answer**:

**Question 42**:

The principal value of is________.

**Answer**:

**Question 43**:

The value of is________.

**Answer**:

**Question 44**:

The value of is________ .

**Answer**:

**Question 45**:

The value of expression , when is________.

**Answer**:

**Question 46**:

If for all , then ________ ________.

**Answer**:

**Question 47**:

The result is true when value of is ________

**Answer**:

**Question 48**:

The value of for all in terms of is ________.

**Answer**:

### State True or False for the Statement in Each of the Exercises 49 to 55

**Question 49**:

All trigonometric functions have inverse over their respective domains.

**Answer: False**

**Question 50**:

The value of the expression is equal to .

**Answer: False**

**Question 51**:

The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

**Answer: True**

**Question 52**:

The least numerical value, either positive or negative of angle is called principal value of the inverse trigonometric function.

**Answer: True**

**Question 53**:

The graph of inverse trigonometric function can be obtained from the graph of their corresponding trigonometric function by interchanging and axes.

**Answer: True**

**Question 54**:

The minimum value of for which , is valid .

**Answer: False**

**Question 55**:

The principal value of

**Answer: True**