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Question

Evalute: sin230+sin270sec250cot240+2 cosec2582 cot 58 tan324tan 13tan 37tan 45 tan 53 tan 77

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Solution

θ=cos θ
tan(90θ)=cot θ
tan 53=tan(9037)=cot 37
tan 77=tan(9017)=cot 13
sec2θtan2θ=1
cosec2θcot2θ=1

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