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

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Match Each Item Given under the Column C1 to Its Correct Answer Given under Column C2

Question 22:

Match the Column C1 and C2

(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: