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Let f:[-1,1] rArr B be a function defin...

Let `f:[-1,1] rArr B` be a function defined as `f(x)=cot^(-1)(cot((2x)/(sqrt3(1+x^(2)))))`. If f is both one - one and onto, then B is the interval

A

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

B

`[0, (2pi)/(3))`

C

`[(pi)/(3), (2pi)/(3)]`

D

`((pi)/(3), pi)`

Text Solution

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The correct Answer is:
C
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