In this exploration you're going to determine some of the important characteristics of the Amplitude of the sine and cosine functions. There are some questions for you to answer at the bottom of this sheet. You should answer them in your notebook.

Turn off the COSINE function by clicking on the colored dot to the left. Then, for the SINE function:
1. Change the value of A to 1, and complete the below ordered pairs:
(0, ____) (Pi/2, _____) (Pi, ______) (3Pi/2, _____) (2Pi, _____)
2. Change the value of A to 3, and complete the below ordered pairs:
(0, ____) (Pi/2, _____) (Pi, ______) (3Pi/2, _____) (2Pi, _____)
3. Change the value of A to -2, and complete the below ordered pairs:
(0, ____) (Pi/2, _____) (Pi, ______) (3Pi/2, _____) (2Pi, _____)
Turn off the SINE function. Then for the COSINE function:
4. Change the value of A to 1, and complete the below ordered pairs:
(0, ____) (Pi/2, _____) (Pi, ______) (3Pi/2, _____) (2Pi, _____)
5. Change the value of A to 3, and complete the below ordered pairs:
(0, ____) (Pi/2, _____) (Pi, ______) (3Pi/2, _____) (2Pi, _____)
6. Change the value of A to -2, and complete the below ordered pairs:
(0, ____) (Pi/2, _____) (Pi, ______) (3Pi/2, _____) (2Pi, _____)
7.Describe in your own words what the A value does to each of the functions
8. Google Amplitude and find a very friendly definition of what the amplitude of a trigonometric function is. (You may have to use more specifics like "trigonometry"). write your favorite definition down.
9. Sketch the graph of a sine function with an amplitude of 5.
10. Sketch the graph of a cosine function with an amplitude of -4.