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Question

Show that sin2α+sin2βcos2αcos2β=cot(βα)

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Solution

sin2α+sin2βcos2αcos2β=2sin(2α+2β2)cos(2α2β2)2sin(2α+2β2)sin(2α2β2)=cos(2α2β2)sin(2α2β2)=cot(βα)

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