Question

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

Answer 1

`sin(cos^(-1)x) = cos  pi/6`

`sin(cos^(-1)x) = sqrt3/2`

`sin(cos^(-1) x) = sin  pi/3`

`cos^(-1) x = pi/3`

`x = cos  pi/3`

`x = 1/2`