Graph of Inverse Sine Function

Author:
knwilson
Topic:
Sine
Use the sliders to adjust the parameters of the sin function. As you do this, note how the graph of the inverse sin function changes. The vertical lines represent the restricted domain of the sin function. The red dashed line represents the line of reflection for the sin graph and its inverse. Click the Tracing on box, and you can see A', the reflection of A. Point A can move freely on the sin graph. To clear the tracing, click the icon to reset the construction. Before changing the sliders to investigate a new function, click to turn tracing off, adjust the sliders, then click Tracing on again.
How are the restricted domain and the range of the sine function related to the domain and range of the inverse sine function? Explain why this is so.