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

1 Answer
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

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]}