You should KNOW

1. What a periodic function is, and that the sine and cosine functions are periodic with period 2 Pi.

2. The meaning of "amplitude" and "phase shift."

3. The features of the graphs of the sine and cosine function and how they are related to each other.

4. That functions of the form

y = A sin(B[x-C]) + D and

y = A cos(B[x-C]) + D

("general sine waves") have graphs that are obtained from the graphs of the sine or cosine by stretching and shifting.

5. That the amplitude of a general sine wave is |A|, its period is |2Pi/B|, D shifts the graph up or down, C is the phase shift, and the frequency is the reciprocal of the period.

You should be ABLE TO

1. Use periodic behavior to help evaluate sines and cosines

2. Determine the period, frequency, amplitude and phase shift of a general sine wave from either its graph or from its equation.

3. Sketch the graphs of the sine and cosine function.

4. Sketch the graph of a general sine wave from its equation.

5. Determine a possible equation for a general sine wave from its graph.

6. Determine the range of a general sine wave function from its equation, and get information about the equation from information about the range.