sin2x + 2sin4x +sin6x = 4cos^2xsin4x
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Step-by-step explanation:
sin2x+2sin4x+sin6x
=(sin6x+sin2x)+2sin4x
=2sin(26x+2x)cos(26x−2x)+2sin4x
=2sin4xcos2x+2sin4x
=2sin4x(cos2x+1)
=2sin4x×2cos2x=4cos2xsin4x
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