Inverse trigonometric functions

Consider the graphs of , and below, these functions do not have the characteristics to have an inverse, why?

Sin(x) and Cos(x)


If we restrict the domain of and they can become 1-1 functions. Using the sliders in the graph, change the domain of so that it becomes 1-1. You can apply the horizontal line test to check that it is 1-1. You can change the values of A and B to change the domain of . Try reflecting on the line, is the resulting curve the graph of ? Apply the vertical line test to check it is.

Inverse of sin(x)

What are the domain and target you found for ?

Inverse of cos(x)

Using the sliders below, find an adequate domain so that has an inverse. What is the target of ?