# NCERT Class 11-Math's: Chapter –3 Trigonometric Functions Part 18

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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)