The value of tan^(-1)[(sqrt(1-sinx)+sqrt...

The value of `tan^(-1)[(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1+sinx))](AA x in [0, (pi)/(2)])` is equal to

A

`(x)/(2)-(pi)/(2)`

B

`(x)/(2)+(pi)/(2)`

C

`(x)/(2)-pi`

D

`(pi)/(2)-(x)/(2)`

Verified by Experts

The correct Answer is:

A

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