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Verified answer
Sin 3x + sin x= 2 sin 1/2(3x+x) cos 1/2(3x-x)
= 2 sin 1/2(4x) cos 1/2(2x)
= 2 sin 2x cos x
= 2 (2 sin x cos x) cos x
= 4 sin x cos^2 x
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