If f(x) = tan^(-1)(sqrt((1+sinx)/(1-sinx...

If `f(x) = tan^(-1)(sqrt((1+sinx)/(1-sinx))), 0 lt x lt pi/2`, then `f'(pi/6)` is

A

`-1/4`

B

`-1/2`

C

`1/4`

D

`1/2`

Verified by Experts

The correct Answer is:

D

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