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 ?