# Thread: How many right inverses can you find?

1. ## How many right inverses can you find?

Let $\mathbb{R} \rightarrow [-1,1]$ be defined by $f(x) = sin x$. How many distinct right inverses can you find?

I am lost as to where to start

2. This question has already been asked, and I think a good hint has been given. Why don't you post your thoughts about it?
$g(x) = \sin^{-1}(x)$ is one solution. What about $g(x) = \sin^{-1}(x) + 2\pi$?