The equality sin A + sin 2A + sin 3A = 3 holds for some real value of A.

Question

State whether the statement is True or False? Also give justification.

The equality sin A + sin 2A + sin 3A = 3 holds for some real value of A.

Answer 1

False

Explanation:

We know that, maximum value of sin A is 1.

Given that, sin A + sin 2A + sin 3A = 3

It is possible when sin A = sin 2A = sin 3A=1

But sin2A and sin3A is not equal to 1.

Hence, statement is false.