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Question

If 3π4<α<π, then cosec2α+2cotα is equal to


A

1+cotα

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B

1cotα

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C

1cotα

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D

1+cotα

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Solution

The correct option is C

1cotα


cosec2α+2cotα=1+cot2α+2cotα=|1+cotα|
But 3π4<α<πcotα<11+cotα<0
Hence, |1+cotα|=(1+cotα)


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