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If tan alpha = b/a, a gt b gt 0 and i...

If ` tan alpha = b/a, a gt b gt 0` and if ` 0 lt alpha lt (pi)/(4)`, then ` sqrt((a+b)/(a-b))- sqrt((a-b)/(a+b))` is equal to

A

`(2 sin alpha)/( sqrt(cos 2 alpha ))`

B

`(2 cos alpha)/( sqrt(cos 2 alpha))`

C

`(2 sin alpha)/( sqrt(sin 2 alpha))`

D

`(2 cos alpha)/( sqrt( sin 2 alpha))`

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The correct Answer is:
A
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