Prove that Sin( 90° - θ ) Sin θ Cot θ = Cos2θ - Mathematics

Prove that sin( 90° - θ ) sin θ cot θ = cos²θ.

Sum

LHS = sin( 90° - θ ) sin θ cot θ

= cos θ . sin θ . `cos θ/sin θ`

= cos²θ

= RHS
Hence proved.

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