# ACT Math : How to find the period of the cosine

## 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

.

Explanation:

For the function

the period is equal to

or in this case

which reduces to .

### 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

.

Explanation:

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

.

Explanation:

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 ?

Explanation:

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 ?

Explanation:

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 ?