# How do you graph #y=3cos2pix# and include two full periods?

##### 1 Answer

#### Answer:

See below

#### Explanation:

When graphing any sinusoidal graph except for

So, our period is represented as:

Per.

Per.

Per.

Now let's find our amplitude, which is always the number to the left of the trigonometric function, in this case,

Once we have this information, the easiest way to graph for two periods is to go out four points on the graph's

So it would look like this: Origin, point, point, point, 1

(I know it's difficult to visualize but bear with me until the end)

Then take half of the period and put it at half of that point's distance:

Origin, point,

Then do it again:

Origin,

Now that we know each increment is by one fourth, we can find the missing point

Origin,

And since we know that positive

Hopefully, this helps you visualize it

For two full periods, just keep moving by