The value of cos(2cos^(-1)x+sin^(-1)x) a...

The value of `cos(2cos^(-1)x+sin^(-1)x)` at x=1/5, where `0 le cos^(-1)x lt pi` and `-pi/2 le sin^(-1)x le pi/2` is

A

`(2sqrt6)/5`

B

`1/6`

C

`-(2sqrt6)/5`

D

None of these

Verified by Experts

The correct Answer is:

C

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