### All SAT II Math II Resources

## Example Questions

### Example Question #1 : Graphing Trigonometric Functions

Which of these functions has the greatest amplitude?

**Possible Answers:**

All of these have the same amplitude.

**Correct answer:**

All of these equations have an amplitude of one except for . The amplitude is dictated by the co-efficient of the trigonometric function. In this case, all of the other functions have a coefficient of one, while the odd one out, and therefore our correct answer, has a coefficient of .

### Example Question #2 : Graphing Trigonometric Functions

Give the amplitude of the graph of the function

**Possible Answers:**

**Correct answer:**

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

### Example Question #3 : Graphing Trigonometric Functions

Which of these functions has a graph with amplitude 4?

**Possible Answers:**

**Correct answer:**

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 #4 : Graphing Trigonometric Functions

Which of these functions has a graph with amplitude ?

**Possible Answers:**

**Correct answer:**

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 #5 : Graphing Trigonometric Functions

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

**Possible Answers:**

**Correct answer:**

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

Therefore, we solve for :

The correct choice is therefore .

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### All SAT II Math II Resources

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