If 2 sin^(-1) x - cos^(-1) x = (pi)/(2),...

If `2 sin^(-1) x - cos^(-1) x = (pi)/(2)`, then x is equal to

A

`(1)/(sqrt(2))`

B

`-(1)/(sqrt(2))`

C

`(-sqrt(3))/(2)`

D

`(sqrt(3))/(2)`

Verified by Experts

The correct Answer is:

D

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