# How do you graph two complete cycles of y=2sin(256pit)?

Jan 16, 2017

The not-to-scale graph is inserted, thanks to the Socratic graphic utility.

#### Explanation:

The amplitude is 2. A little extra 2+ is used to avoid small gaps at

The period of sin kt is 2pi)/k and here it is 1/128.

So, for two cycles the x-span should be $\frac{1}{64}$.

So, choose the interval

$x \in \left[- \frac{1}{128} , \frac{1}{128}\right]$.

Note the ratio amplitude/period = 256. So, the need for zooming x is

understandable.

graph{2sin(803.25x) [-.0078, .0078, -2.2, 2.2]}