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Identify the following functions: f(x)=c...

Identify the following functions: `f(x)=cos["x"]+[(sinx)/2]` where `[dot]` denotes the greatest integer function.

A

Odd

B

Even

C

Neither

D

Both

Text Solution

Verified by Experts

The correct Answer is:
C
`0 le |(sinx)/(2)| le (1)/(2) " or " [|(sinx)/(2)|]=0`
Therefore, `f(x)=cosx,` which is even.
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