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verify folllowing identities sin3x-sinx=2cos2xsinx
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sin(3x)-sin(x)=sin(2x+x)-sin(x)= sin2xcosx+sinxcos2x-sinx=2sinxcos^2x+sinxcos2x-six= 2sinxcos^2x-sinx+sinxcos2x=sinx(2cos^2x-1)+sinxcos2x=sinxcos2x+sinxcos2x= 2sinxcos2x
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