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Question

1+cosθsin2θsinθ(1+cosθ)=cotθ

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Solution

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

1207685_1296573_ans_07b8e9cf79b34a02aa70f64e42a9add2.JPG

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