Find the domain and range of `f(x)=sin^(-1)[x]` where `[]` represents the greatest function).

Explanation

`f(x)=sin^(-1) [x]` is defined if `-1 le [x] le1`
`implies [x]= -1,0,1`
`implies x in [-1,2)`
Also, range is `{sin^(-1)(-1),sin^(-1)0,sin^(-1)1} -= {-pi//2,0,pi//2}`