Sine and Cosine Graph

Front

What is the period of the sine and cosine graphs?

Back

Front

What is the amplitude of a sine or cosine graph?

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the graph. It is given by the coefficient in front of the sine or cosine function.

Front

What is the general form of a sine function?

Back

Front

What is the general form of a cosine function?

Back

Front

Where does the graph of sine start?

Back

The graph of sine starts at the origin (0,0).

Front

Where does the graph of cosine start?

Back

The graph of cosine starts at the point (0,1).

Front

What is the relationship between sine and cosine?

Back

Front

How do you find the period of a sine or cosine function?

Back

Front

What is the effect of changing the amplitude in a sine or cosine graph?

Back

Changing the amplitude stretches or compresses the graph vertically. A larger amplitude results in taller peaks and deeper troughs.

Front

What happens to the graph of sine or cosine when the phase shift is applied?

Back

A phase shift moves the graph left or right along the x-axis, determined by the value of C in the general form.