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.


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


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