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The largest Interval lying in (-pi/2,pi/...

The largest Interval lying in `(-pi/2,pi/2)` for which the function : `f(x)= [4^(-x^(2))+ cos^(-1) (x/2-1)+ log( cos x)]` is defined is :

A

`(-pi/2,pi/2)`

B

`[-pi/4,pi/2)`

C

`[0,pi/2)`

D

`[0,pi]`.

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