Lissajous figures circle problem

[negat1ve]

Homework Statement

Show that the two inputs given by x = Asin(wt) and y = Acos(wt) would display a circle of radius A on the display of an oscilloscope?

2*pi*f = w

This is a bonus lab question i am supposed to look online and research how to do but can't find anything that explains it well. Can anyone please help? Thanks!

 

[Delphi51]

Circles are pretty complicated. Have you ever seen that demo where a wheel is rolled along the ledge below the chalkboard and a piece of chalk on the turning wheel makes a graph on the board? That graph of its height is a sine wave.

In math theory, you always talk about the unit circle. The x coordinate on the unit circle is cos(A) and the y coord is sin(A), right? Imagine the point moving around the circle so its angle is A = wt. That should give you pretty much the same equations you were given for the scope.

 

[Dadface]

The problem described is an example of Lissajous figures.Try googling.