Simplest form of tan^(-1)((sqrt(1+cosx)+...

Simplest form of `tan^(-1)((sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))), pi lt x lt (3pi)/2` is :

A

`pi/4-x/2`

B

`(3pi)/2-x/2`

C

`-x/2`

D

`-pi-x/2`

Verified by Experts

The correct Answer is:

A

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