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Period of the function f(x) =(1)/(3){sin...

Period of the function `f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]}` is (where [.] denotes the greatest integer function )

A

`(pi)/(3)`

B

`( 2pi )/(3)`

C

`( 4pi )/(3)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
We obseve that the periods of sin3x, |sin 3x| and
`[sin3x]` are `(2pi)/(3),(pi)/(3)` and `(2pi)/(3)` respectivel.
`therefore ` Period of `f(x)` is `(2pi)/(3)`
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