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Question

Prove the following:
cos(π+x)cos(x)sin(πx)cos(π2+x)=cot2x

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Solution

LHS=cos(π+x)cos(x)sin(πx)cos(π2+x)=(cosx)(cosx)(sinx)(sinx)

=cos2xsin2x=cot2x=RHS

Hence proved.

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