If f(x)=cos[pi^2]x +cos[-pi^2]x , where ...

If `f(x)=cos[pi^2]x +cos[-pi^2]x ,` where `[x]` stands for the greatest integer function, then

A

`f((pi)/(2))=0`

B

`f(pi)=-1`

C

`f(-pi)=1`

D

`f((pi)/(4))=(1)/(sqrt(2))`

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The correct Answer is:

D

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