### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Find The Period Of The Cosine

A function with period P will repeat on intervals of length P, and these intervals are referred to as periods.

Find the period of the function

.

**Possible Answers:**

**Correct answer:**

For the function

the period is equal to

or in this case

which reduces to .

### Example Question #2 : How To Find The Period Of The Cosine

A function with period P will repeat on intervals of length P, and these intervals are referred to as periods.

Find the period of the function

.

**Possible Answers:**

**Correct answer:**

For the function

the period is equal to

or in this case

which reduces to .

### Example Question #3 : How To Find The Period Of The Cosine

A function with period P will repeat on intervals of length P, and these intervals are referred to as periods.

Find the period of the function

.

**Possible Answers:**

**Correct answer:**

For the function

the period is equal to

or in this case

which reduces to .

### Example Question #4 : How To Find The Period Of The Cosine

A function with period will repeat its solutions in intervals of length .

What is the period of the function ?

**Possible Answers:**

**Correct answer:**

For a trigonometric function , the period is equal to . So, for , .

### Example Question #5 : How To Find The Period Of The Cosine

A function with period will repeat its solutions in intervals of length .

What is the period of the function ?

**Possible Answers:**

**Correct answer:**

For a trigonometric function , the period is equal to . So, for , .

### Example Question #6 : How To Find The Period Of The Cosine

A function with period will repeat its solutions in intervals of length .

What is the period of the function ?

**Possible Answers:**

**Correct answer:**

For a trigonometric function , the period is equal to . So, for , .