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Question

Solve :
(cosecθcotθ)1+cosθ1cosθ=1

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Solution

cosec θcotθ1+cosθ1cosθ=1
=(1sinθcosθsinθ)(    2cos2θ22sin2θ2)
=(1cosθsinθ)(cotθ2)
=2sin2θ22sinθ2×cosθ2×cotθ2
=tanθ2×cotθ2
=1 (proved)

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