Find the principal values of (a) `sin^(-1)((sqrt(3))/2)` (b) `sin^(-1)(-1/2)`

Explanation

`theta=sin^-1(x)``x in [1,-1]`

(a) `sin^(-1)((sqrt(3))/2)=sin^-1(sin(frac{pi}{3}))=frac{pi}{3}`


(b) `sin^(-1)(-1/2)=sin^-1(sin(frac{pi}{6}))=-frac{pi}{6}`