prove that sin 6x + sin 4x minus sin 2x is equal to 4 cos x sin 2x cos 3x
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sin2x+sin4x+sin6x=2sin3xcosx+sin6x=2sin3xcosx+2sin3xcos3x=2sin3x(cosx+cos3x)=2sin3x×2cos2xcosx=4cosxcos2xsin3x=RHS.
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