# NCERT Class 11-Math՚S: Chapter – 3 Trigonometric Functions Part 18 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 57**:

If

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 58**:

If is equal to

(A)

(B)

(C)

(D) None

**Answer: (B)**

**Question 59**:

If for real values of , then

(A) is an acute angle

(B) is right angle

(C) is an obtuse angle

(D) No value of is possible

Fill in the blanks in Exercises 60 to 67:

**Answer: (D)**

**Question 60**:

The value of is ________.

**Answer: (1)**

**Question 61**:

If then the numerical value of is ________.

**Answer**:

**Question 62**:

If then ________.

**Answer**:

**Question 63**:

If , then

(i)

(ii)

**Answer**:

**Question 64**:

In a triangle ABC with the equation whose roots are tan A and tan B is ________.

**Answer**:

**Question 65**:

**Answer**:

**Question 66**:

Given lie in the interval ________.

**Answer**:

**Question 67**:

The maximum distance of a point on the graph of the function from axis is ________.

**Answer**:

## In Each of the Exercises 68 to 75, State Whether the Statements is True or False? Also Give Justification

**Question 68**:

If then

**Answer: True**

**Question 69**:

The equality holds for some real value of A.

**Answer: False**

**Question 70**:

is greater than .

**Answer: False**

**Question 71**:

**Answer: True**

**Question 72**:

One value of which satisfies the equation lies between and .

**Answer: False**

**Question 73**:

If

**Answer: True**

**Question 74**:

If

**Answer: True**

**Question 75**:

If

**Answer: True**

**Question 76**:

In the following match each item given under the column to its correct answer given under the column :

(a) | (i) | ||

(b) | (ii) | ||

(c) | (iii) | ||

(d) | (iv) |

**Answer**:

(a) ⟷ (iv)

(b) ⟷ (i)

(c) ⟷ (ii)

(d) ⟷ (iii)