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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

`[0, pi]`

B

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

C

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

D

`[0, pi//2)`

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