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Question

Prove:
tan2θ1+tan2θ+cot2θ1+cot2θ=1

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Solution

tan2θ1+tan2θ+cot2θ1+cot2θ
sin2θcos2θsin2θ+cos2θcos2θ+cos2θsin2θcos2θ+sin2θsin2θ
=sin2θ+cos2θ
=1

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