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The interval in which f(x)=3cos^(4)x+10c...

The interval in which `f(x)=3cos^(4)x+10cos^(3)x+6cos^(2)x-3` increases or decreases in `(0,pi)`

A

decreases on `((pi)/(2),(2pi)/(3))` and increases on `(0,(pi)/(2))cup((2pi)/(3),pi)`

B

decreases on `((pi)/(2),pi)`and increases on `(0,(pi)/(2))`

C

decreases on `(0,(pi)/2)cup((2pi)/(3),pi)` and increases on `((pi)/(2),(2pi)/(3))`

D

decreases on `(0,(pi)/(2))` and increases on `((pi)/(2),pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
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