# What is the period of #y= 3cos (2x)#?

##### 2 Answers

#### Explanation:

When looking at a generic trigonometric function

the only factor involving the periodicity is

So. in your case,

#### Explanation:

The equation is in the general form of

Where:

a = amplitude

b = used to find the period (T)

Since this graph is cosine, then the period (T) is

The period is also the same for sine. However, it is different for tan. The period for tan is

Why?

The period of a graph is basically asking you how long it takes for a graph to complete one oscillation ie how long does the graph take to return to its original position. So for sine and cosine, it takes

SO, the period for this graph is:

period(T) =