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Prove the following trigonometric identities: (cosecθ - secθ)(cotθ - tanθ) = (cosecθ + secθ)(secθcosecθ - 2)

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Prove the following trigonometric identities:

(cosecθ - secθ)(cotθ - tanθ) = (cosecθ + secθ)(secθcosecθ - 2)

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L.H.S = (cosecθ - secθ)(cotθ - tanθ)

R.H.S =(cosecθ + secθ)(secθcosecθ - 2)

Therefore, LHS = RHS 

Hence Proved.

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