sin2 x + 2 sin 4x + sin 6x = 4 cosa x sin 4x
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Answer:
LHS :
sin2x+2sin4x+sin6x
=(sin6x+sin2x)+2sin4x
=2sin(
2
6x+2x
)cos(
2
6x−2x
)+2sin4x
=2sin4xcos2x+2sin4x
=2sin4x(cos2x+1)
=2sin4x×2cos
2
x=4cos
2
xsin4x
= RHS
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