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Question

Prove that:

cos2(π4θ)sin2 (π4θ)=sin 2θ

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Solution

LHS=cos2(π4θ)sin2 (π4θ)=cos2(π4θ)[ cos 2θ=cos2 θsin2 θ]=cos (π22θ)[ cos (π2θ)=sin θ]=sin 2θ
= RHS


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