1. Explain why, without restrictions, no trigonometric function has an inverse function.
2. Sine
o Describe the restriction on the function so that it has an inverse.
o Without drawing a graph, describe the behavior of the inverse
graph. Mention the function's domain and range in your description.
3. Cosine
o Describe the restriction on the function so that it has an inverse.
• Without drawing a graph, describe the behavior of the inverse
graph. Mention the function's domain and range in your description.
4. Tangent
o Describe the restriction on the function so that it has an inverse.
o Without drawing a graph, describe the behavior of the inverse
graph. Mention the function's domain and range in your description.
5. Are the domains of the restricted trigonometric functions the same as the
intervals on which the nonrestricted functions complete one cycle?
Creating a table the shows the function, intervals and cycle may make it
easy to justify your answer.