# What would the inverse function of #y=sin x# look like?

##### 1 Answer

Jul 11, 2018

See answer below

#### Explanation:

Given:

In order for a function to have an inverse it must pass both the vertical line test and the horizontal line test:

Graph of

graph{sin x [-6.283, 6.283, -2, 2]}

In order for the

The inverse function is

graph{arcsin x [-4, 4, -2, 2]}