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The peroid of the function f(x) = |cos....

The peroid of the function `f(x) = |cos.(x)/(2)|+ |sinx|` is

A

`2pi `

B

`pi`

C

`4pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We know that |sin x | and |cos x| are periodic functions each with period `pi`. Therefore
`|cos.(x)/(2)|` is periodic with period `2pi`.
Hence, `f(x) = |cos.(x)/(2)| +|sin x |` is periodic with period `2pi`.
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