# EXERCISE 3.3(Trigonometric Function)

Prove that:(Ex 3.3 Trigonomety ncert maths solution class 11)

Question 1:

Solution: L.H.S.

Question 2:

Solution:

Question 3:

Solution: L.H.S.

Question 4:

Solution: L.H.S

Question 5: Find the value of:

(i)

(ii)

Solution: (i)

Using the formula

(ii)

Using formula

Substituting the values

Multiply by in and

Prove the following:

Question 6:

Solution:

We know the formula

Now,

Question 7:

Solution:

By using the formula

So we get

Question 8:

Solution:

Question 9:

Solution:

Question 10:

Solution:

Using formula

Hence,

Question 11:

Solution:

Using formula

NOW,

Question 12:

Solution:

Using the formula

So we get

Question 13:

Solution:

Using the formula

So we get

Question 14:

Solution:

Using the formula

Taking common terms

Using the formula

Question 15:

Solution:

Using the formula

Similarly

Using the formula

Hence, LHS RHS.

Question 16:

Solution:

Using the formula

Question 17:

Solution:

Using the formula

Question 18:

Solution:

Using the formula

Question 19:

Solution: L.H.S.

Using the formula

Question 20:

Solution:

Using the formula

Question 21:

Solution:

Using the formula

Question 22:

Solution:

Using the formula

Question 23:

Solution:

By using the formula

Taking LCM

Question 24:

Solution:

Using the formula

Again by using the formula

Question 25:

Solution: L.H.S.

Using the formula

Again by using formula

By multiplication

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