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

If `A= {x:pi/6 le x le 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),sqrt3/2 - pi/6(1+pi/6)]`

D

`[1/2 + pi/3(1-pi/3),sqrt3/2 + pi/6(1-pi/6)]`

Text Solution

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The correct Answer is:
C
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