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

Options

A. `pi/4 - x/2`
B. `(3pi)/2 -x/2`
C. `- x/2`
D. `-pi - x/2`

Answer

A