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Question

Prove that:

1+cosθsin2θsinθ(1+cosθ)=cotθ

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Solution

1+cosθsin2θsinθ(1+cosθ)=sin2θ+cos2θ+cosθsin2θsinθ(1+cosθ)=cosθ(cosθ+1)sinθ(1+cosθ)=cosθsinθ=cotθ


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