Plotting Phasor representations of functions

1. Jan 15, 2008

VinnyCee

1. The problem statement, all variables and given/known data

Plot the following for x = 0 to 8:

This is part of a larger engineering problem, but I am stuck here, I have no idea how to plot a phasor.

The original function is:

$$y(x,\,t)\,=\,2\,cos\left(\frac{\pi}{6}\,t\,-\,\frac{\pi}{4}\,x\right)$$

2. Relevant equations

3. The attempt at a solution

And the phasor representation...

$$\tilde{Y}(x)\,=\,2\,e^{j\left(-\frac{\pi}{4}\,x\right)}$$

How do I plot that?!?!?!?

2. Jan 16, 2008

Kurdt

Staff Emeritus
The plot will be a circle in the complex plane of radius 2. The phasors will be points on the circle with angle given by $- \frac{\pi}{4} x$.