Evaluate each of the following:

(i)`sin^(-1)(sinpi/6)`

(ii) `sin^(-1)(sin(7pi)/6)`

(iii) `sin^(-1)(sin(5pi)/6)`

Explanation

(i)
We know
$$ \sin \left(\sin ^{-1} \theta\right)=\theta \text { if }-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2} $$
We have
$$
\sin ^{-1}\left(\sin \frac{\pi}{6}\right)=\frac{\pi}{6}
...