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Solve 2 cos^(-1) x + sin^(-1) x = (2pi)/...

Solve `2 cos^(-1) x + sin^(-1) x = (2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt3)/(2)`
`2 cos^(-1) x + sin^(-1) x = (2pi)/(3)`
`rArr cos^(-1) x (cos^(-1) x + sin^(-1) x) = (2pi)/(3)`
`rArr cos^(-1) x + (pi)/(2) = (2pi)/(3)`
`rArr cos^(-1) x = (pi)/(6) rArr x = (sqrt3)/(2)`
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