# NCERT Class 11-Math's: Exemplar Chapter 3 Trigonometric Functions Part 8

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## Match Each Item Given under the Column C_{1} to Its Correct Answer Given under Column C_{2}

**Question 22:**

(a) | (i) | ||

(b) | (ii) | ||

(c) | (iii) | ||

(d) | (iv) |

**Answer:**

(a)

Hence (a) matches with (iv) denoted by

(b)

Hence (b) matches with (i) i.e.,

(c)

Hence (c) matches with (ii) i.e.,

(d)

Hence (d) matches with (iii), i.e., (d) ↔ (iii)

## 3.3 EXERCISE

### Short Answer Type

**Question 1:**

**Answer:**

To prove:

As equation on RHS is a simplified expression, so we must opt Left side equation and simplify it further so that we can get

LHS = RHS.

And thus we will be able to prove it.

The expression gives us hint that we use the identity:

to simplify the expression but to use this we need to multiply numerator and denominator with

.

Hence, it is proved that: