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If 4sin^(-1)x+cos^(-1)x=pi, then x is eq...

If `4sin^(-1)x+cos^(-1)x=pi`, then `x` is equal to

A

0

B

`1//2`

C

`-1//2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Given , `4sin^(-1)x+cos^(-1)x=pi`
`rArr4sin^(-1)x+(pi)/(2)-sin^(-1)x=pi`
`rArr3sin^(-1)x=(pi)/(2)`
`rArrsin^(-1)x=(pi)/(6)rArrx=(1)/(2)`
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