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If 2tan^(-1)(cosx)=tan^(-1)(2cosecx), t...

If `2tan^(-1)(cosx)=tan^(-1)(2cosecx)`, then sinx +cosx is equal to

A

`2sqrt2`

B

`sqrt2`

C

`(1)/(sqrt2)`

D

`(1)/(2)`

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The correct Answer is:
B
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