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Define f(x)=(1)/(2)[|sinx|+sinx], 0 lt x...

Define `f(x)=(1)/(2)[|sinx|+sinx], 0 lt x le 2pi`. Then , f is

A

increasing in `((pi)/(2),(3pi)/(2))`

B

decreasing in `(0,(pi)/(2))` and decreasing in `((pi)/(2),pi)`

C

increasing in `(0,(pi)/(2))` and decreasing in `((pi)/(2),pi)`

D

increasing in `(0,(pi)/(4))` and decreasing in `((pi)/(4),pi)`.

Text Solution

Verified by Experts

The correct Answer is:
C
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