Published by:
CGP EDU Academic Team
Published on: August 12, 2026
For 
, the equation sinx + 2sin2x - sin3x = 3 has
Text Solution
Verified by ExpertsThe correct answer is:
D
sin x + 2 sin 2x – sin 3x = 3
sin x + 4 sin x cos x – 3 sin x + 4 sin3 x = 3
sin x [ – 2 + 4 cos x + 4(1 – cos2 x)] = 3
sin x [2 – (4 cos2 x – 4 cos x + 1) + 1] = 3
sin x [3 – (2 cos x – 1)2] = 3
sin x = 1 and 2 cos x – 1 = 0
and 
which is not possible at same time
Hence, no solution
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