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If A={x:(pi)/(6) lt x lt (pi)/(3)} and f...

If `A={x:(pi)/(6) lt x lt (pi)/(3)}` and `f(x) =cosx-x(1+x),` then `f(A)` is equal to :

A

`[(pi),(6),(pi)/(3)]`

B

`[(-pi)/(3),(-pi)/(6)]`

C

`[(1)/(2)-(pi)/(3)(1+(pi)/(3)),(sqrt(3))/(2)-(pi)/(6)(1+(pi)/(6))]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
c
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