Q69 of 76 Page 52

True and False

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

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.


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