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How can I simplify sin2xcosx+cos2xsinx?

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May 28, 2015

Use the identities: #sin 2x = 2sin x.cos x# and

#cos 2x = 2cos^2 x - 1#

#2sin x.cos^2 x + (2cos^2 x - 1)sin x #=

#=sin x(4cos^2 x - 1) = sin x.(2cos x - 1)(2cos x + 1)#

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