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If cot^(-1) (sqrt(cos alpha)) - tan^(-1)...

If `cot^(-1) (sqrt(cos alpha)) - tan^(-1) (sqrt(cos alpha)) = x`, then sin x is

A

`tan^(2)((alpha)/2)`

B

`cot^(2)((alpha)/2)`

C

`tan alpha`

D

`cot((alpha)/2)`

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