# How do you find the amplitude, period, vertical and phase shift and graph #y=cos(theta+pi/3)#?

##### 1 Answer

Simple Harmonic Motion/Oscillations (SHM) are graphed with cosine or sine functions, and the amplitude; period and phase shift can easily be found in the following way:

The graph for displacement can be described with:

Given:

The angular displacement is equal to the angular velocity * time.

We can substitute this into our equation:

Where:

A == Amplitude

In your example:

The **Amplitude** is equal to 1 (same as

The **Phase Change** (

We know the period (T) is equal to:

Hence, substituting you will get

To find the period we will have to substitute a value for time or find a time for displacement = 0