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Question

If 3π4<x<π, then cosec2x+2 cot x is equal to ___________.

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Solution

Given 3π4<x<π
cosec2x+2cot x=2cot x+cot2x+1=cot x+12=cot x+1Since 3π4<x<πi.e cosec2x+2cot x=-cot x-1

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