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If A={x inR//(pi)/(4)lexle(pi)/(3)} and ...

If `A={x inR//(pi)/(4)lexle(pi)/(3)}` and f(x)=sinx-x, then f(A) is equal to

A

`[(sqrt(3))/(2)-(pi)/(3),(1)/(sqrt(2))-(pi)/(4)]`

B

`[-(1)/(sqrt(2))-(pi)/(4),(sqrt(3))/(2)-(pi)/(3)]`

C

`[-(pi)/(3),(-pi)/(4)]`

D

`[(pi)/(4), (pi)/(3)]`

Text Solution

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The correct Answer is:
A
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