Lets look at the graph. Just like we would do by hand, we interchange x and y, and solve for y. We then turn this solution into a function using the unapply command. Lets see how this works in action. This is called 'restricting the domain'.
Lets take a peek at the sine and arcsin, and see how they are reflections of one another.
Lets take a look at the cosine and arccosine. Note the restricted range of the cosine is different. This makes both the restricted cosine and the arccosine appear much different than the sine and arcsine. Inverse trigonometric functions have the same properties as other inverse functions. On the other hand, it makes sense to compute the sine of 1 radian, but its not something that comes up very often.