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

If `f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x,` where `[x]` denots the greatest integer function, then the value of `f((pi)/(2))` is-

A

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

B

`f (-pi) =2`

C

`f (pi) =1`

D

` f ((pi)/(2)) =-1`

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The correct Answer is:
D
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