# NCERT Class 11-Math's: Exemplar Chapter 3 Trigonometric Functions Part 7

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**Question 18:**

The value of is

(A)

(B)

(C)

(D)

**Answer:**

Correct choice is (C).

Indeed

**Question 19:**

The value of

(A)

(B)

(C)

(D)

**Answer:**

(D) is the correct answer. We have

Fill in the blank :

**Question 20:**

**Answer:**

Given that which can be rewritten as

Applying componendo and Dividendo; we get

Giving

State whether the following statement is True or False. Justify your answer

**Question 21:**

“The inequality holds for all real values of θ”

**Answer:**

True. Since 2sinθ and 2cosθ are positive real numbers, so A.M. (Arithmetic Mean) of these two numbers is greater or equal to their G.M. (Geometric Mean) and hence

Since,