5. a sound wave is modeled with the equation y = 1/4 cos 2pi/3 ∅

a.) find the period. explain your method.
b.) find the amplitude. explain your method.
c.) what is the equation of midline?

QUESTION A

The sound wave is modeled by;

This function is of the form;

, where .

The period is given by;

We substitute the value of B to get;

The period is 3.

QUESTION B

The amplitude of the given function is

Comparing the given function to , .

The amplitude is .

QUESTION C.

The equation of the mid-line  is given by;