sin2xsinx+cosx=0

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1 Answer

sin(2x)sin(x)+cos(x)=0,

2sin2(x)cos(x)+cos(x)=0, (because sin(2x)=2sin(x)cos(x))

cos(x)(2sin2(x)+1)=0.

Since 2sin2(x)+1 cannot be zero, cos(x)=0, when x=(2n+1)π/2 where n is an integer.

by Top Rated User (1.2m points)

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