A bicycle wheel is spinning in place. The vertical position of a point on the wheel, in inches, is described by the function . Time, , is measured in seconds.

1. What is the meaning of 13.5 in this context?
2. What is the meaning of 5 in this context?
3. What is the meaning of 20 in this context?

Each expression describes the vertical position, in feet off the ground, of a carriage on a Ferris wheel after minutes. Which function describes the largest Ferris wheel?

Which trigonometric function has a period of 5?

Here is a graph of .

1. Sketch a graph of .

   

2. How do the two graphs compare?

Here is a table that shows the values of functions , , and for some values of . 

1. Use the table to determine the value of in the equation .
2. Use the table to determine the value of in the equation .