# SAT II Math II : Graphing Trigonometric Functions

## Example Questions

### Example Question #1 : Graphing Functions

Give the amplitude of the graph of the function

Explanation:

The amplitude of the graph of a sine function  is . Here, , so this is the amplitude.

### Example Question #1 : Graphing Trigonometric Functions

Which of these functions has a graph with amplitude 4?

Explanation:

The functions in each of the choices take the form of a cosine function

.

The graph of a cosine function in this form has amplitude . Therefore, for this function to have amplitude 4, . Of the five choices, only

matches this description.

### Example Question #1 : Graphing Trigonometric Functions

Which of these functions has a graph with amplitude  ?

Explanation:

The functions in each of the choices take the form of a sine function

.

The graph of a sine function in this form has amplitude . Therefore, for this function to have amplitude 4, . Of the five choices, only

matches this description.

### Example Question #1 : Graphing Trigonometric Functions

Which of the following sine functions has a graph with period of 7?

Explanation:

The period of the graph of a sine function , is , or .

Therefore, we solve for :

The correct choice is therefore .

### Example Question #1 : Find The Amplitude Of A Sine Or Cosine Function

Which of the given functions has the greatest amplitude?