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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)/(2)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
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