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If cos^(-1) (x) = alpha, (0 lt x lt 1...

If `cos^(-1) (x) = alpha, (0 lt x lt 1) " and " sin^(-1) (2x sqrt(1 - x^2)) + sec^(-1)(1/(2x^2 - 1)) = (2pi)/(3)` , than `tan^(-1)`(2x) equals

A

`pi/6`

B

`pi/4`

C

`pi/3`

D

`pi/2`

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