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If 4sin^(-1)x+6cos^(-1)x=3pi then x= . ....

If `4sin^(-1)x+6cos^(-1)x=3pi` then x= . . .

A

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

B

`(1)/(2)`

C

`0`

D

`-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
We have, `4sin^(-1)x+6cos^(-1)x=3pi`
`implies4sin^(-1)x+6((pi)/(2)-sin^(-1)x)=3pi`
`implies4sin^(-1)x+3pi-6sin^(-1)x=3pi`
`implies-2sin^(-1)x=0 implies sin^(-1)x=0`
`impliesx=sin(0)=0`
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