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Prove that cot θ - cos θ / cot θ + cos θ = cosec θ - 1 / cosec θ + 1

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Prove that

 \(\frac{cot\theta-cos\theta}{cot \theta+cos\theta}\) = \(\frac{cosec\theta-1}{cosec\theta+1}\)

cot θ - cos θ / cot θ + cos θ = cosec θ - 1 / cosec θ + 1

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Hence Proved.

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