Question

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

Answer 1

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

crests and nadirs.

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

So, for two cycles the x-span should be `1/64`.

So, choose the interval

`x in [-1/128, 1/128]`.

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

understandable.

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