Write the value of `cos^(-1)(-1/2)+2sin^(-1)(1/2)`

Explanation

`cos^-1(-1/2)+2sin^-1(1/2)`

We know, `cos^-1(-x) = pi - cos^-1(x)`

`:. cos^-1(-1/2)+2sin^-1(1/2) = pi - cos^-1(1/2)+2sin^-1(1/2)`

`=pi-pi/3+2(pi/6)`

`=pi-pi/3+pi/3`

`=pi`

`:. cos^-1(-1/2)+2sin^-1(1/2) = pi`