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Find the general solution of the following equation:  sin x + sin 3x + sin 5x = 0

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Find the general solution of the following equation:

sin x + sin 3x + sin 5x = 0
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To Find: General solution.

Given: sin x + sin 3x + sin 5x = 0 

⇒ sin 3x + 2sin 3x cos 2x= 0 

⇒ sin 3x (1 + 2cos 2x) = 0 

[NOTE: sin C + sin D = 2sin (C+D)/2 × cos (C-D)/2]

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