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Question

Solve (sec2θ1)(1cosec2θ)=1

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Solution

(sec2θ1)(1csc2θ)=(tan2θ)(cot2θ)=1
( as sec2θtan2θ=1secθ1=tan2θ)
(as csc2θcot2θ=11csc2θ=cot2θ)
( as cot2θ=1tan2θ)

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