NCERT Class 11-Math's: Exemplar Chapter 3 Trigonometric Functions Part 9

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Question 2:

Answer:

As we have to prove:

Given,

As we need to get in numerator, so we need to bring this term in numerator.

Multiplying numerator and denominator by

Using

Thus,

Question 3:

[Hint: Express and apply componendo and dividendo]

Answer:

Given,

To prove:

Applying componendo-dividendo rule –

By transformation formula of T-ratios we know that –

and

On applying formula, we get –

Question 4:

If find the value of

Answer:

Question 5:

If

Answer:

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