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

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)`, then `tan^(-1)(2x)` equals

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`

Text Solution

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The correct Answer is:
C
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