Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If x ∈ 
, the number of solutions of the equation sin 7x + sin 4x + sin x = 0 is:
Text Solution
Verified by ExpertsThe correct answer is:
B
sin 7x + sin 4x + sin x = 0 ⇒ 2 sin 4x cos 3x + sin 4x = 0
⇒ sin 4x = 0 or cos 3x = 
⇒ 4x = n π or 3x = 2n π ± 
⇒ x = 
, 
= 0, 
, 
, 
, 
.
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