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Question

Prove that:
sin(90θ)cos(90θ)cot(90θ) + sin2θ = 1.


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Solution

sin(90 – θ) = cos θ

cos(90 – θ) = sin θ

cot(90 – θ) = tan θ

cosθsinθtanθ + sin2θ = cos2θ + sin2θ = 1

Hence proved


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