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

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

Discussion

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