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Prove that Tan3θ/( 1 + Tan2θ) + Cot3θ/(1 + Cot2θ) = SecθCosecθ - 2SinθCosθ

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Tan3θ/( 1 + Tan2θ) + Cot3θ/(1 + Cot2θ) = SecθCosecθ - 2SinθCosθ

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