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

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Question 10:

If

Answer:

Given,

As we have to prove:

if we find out the expression of sin and tan in terms of and , we can get the desired expression to be proved.

Adding equation 1 and 2 to get the value of .

Similarly, on subtracting equation 2 from 1, we get-

Multiplying equation 3 and

Hence,

Question 11:

If then prove that

Answer:

To prove:

We know that:

Hence,

Question 12:

If then prove that

Answer:

To Prove:

Given,

t:

Hence,

Question 13:

If then show that [Hint: Use componendo and Dividendo]

Answer:

To prove:

Given,

Applying componendo – dividendo rule, we get-

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