Plotting Phasor representations of functions

AI Thread Summary
To plot the phasor representation of the function y(x,t) = 2cos(π/6 t - π/4 x), the phasor is represented as ŷ(x) = 2e^{j(-π/4 x)}. The plot will depict a circle in the complex plane with a radius of 2. Points on this circle correspond to angles determined by -π/4 x, where x ranges from 0 to 8. This visualization illustrates how the phasor changes with respect to x. Understanding this representation is crucial for solving the larger engineering problem at hand.
VinnyCee
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Homework Statement



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)



Homework Equations





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?!?
 
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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.
 
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