# Amplitude and Period of Sine and Cosine Functions

The amplitude of and represents half the distance between the maximum and minimum values of the function.

Amplitude = | a |

Let b be a real number. The period of and is given by

Example:

Find the period and amplitude of .

Solution:

Compare the functions and to find a and b .

The amplitude of the function is 5/2.

The period of the function is .