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Question

Ifcosecθ+cotθ=m and cosecθcotθ=n, prove that mn=1.

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Solution

Given : cosecθ+cotθ=m and cosecθcotθ=n

multiply both the equations we get,

=(cosecθ+cotθ)(cosecθcotθ)

=cosec2θcot2θ

=1......(As cosec2θcot2θ=1)

=mn

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