If the function f:R rarr A defined as f(...

If the function `f:R rarr A` defined as `f(x)=sin^(-1)((x)/(1+x^(2)))` is a surjective function, then the set A is

A

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

B

`[-(pi)/(2),(pi)/(2)]`

C

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

D

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

Verified by Experts

The correct Answer is:

A

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