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Find the values of cos(2cos^(-1)x+sin^(-...

Find the values of `cos(2cos^(-1)x+sin^(-1)x)` at x = 1/5, where `0 le cos^(-1)x le pi and -pi//2 le sin^(-1)x le pi//2`.

A

`(2sqrt(6))/5`

B

`-(2sqrt(6))/5`

C

`sqrt(6)/5`

D

`-sqrt(6)/5`

Text Solution

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The correct Answer is:
B
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