NCERT Class 11-Math՚s: Exemplar Chapter 3 Trigonometric Functions Part 4

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Question 5:

Find the value of

Answer:

We have

(1)

Also

(2)

Similarly, (3)

Using (2) and (3) in (1) , we get

Question 6:

Prove that

Answer:

We have

Question 7:

Solve the equation

Answer:

We have

Or

Or

Or

Or

When

When

Which gives

All these values of are contained in . Hence, the required solution set is given by

Question 8:

Solve

Answer:

Here,

Which gives

If we take

Again, if we take

Therefore, the possible solutions of above equations are

Long Answer Type

Question 9:

Find the value of

Answer:

Write