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

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

A

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

B

`f(pi)=1`

C

`f(-pi)=0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Let `f(x) = cos` …………..
`2pi^(2)=19.72`
`3pi^(2)=29.58`
`:. [2pi^(2)]=19, [-3pi^(2)]= -30`
`f ((pi)/(2))= -1 , f(pi) = 0 , f(-pi) = 0 , f ((pi)/(4)) = (-1)/(sqrt(2))`
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