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The greatest value of the function f(x) ...

The greatest value of the function `f(x) =sin 2x -x ` on `[-pi//2,pi//2]` is

A

`sqrt3/2-pi/6`

B

`sqrt3/2+pi/6`

C

`-sqrt(3)/2+pi/3`

D

`1/2-pi/3`

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The correct Answer is:
A
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