# NCERT Class 12-Mathematics: Chapter –2 Inverse Trigonometric Function Part 16

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## 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**