I'm considering the superposition of 2 vectors.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]E_x=E_1cos(wt)

E_y=E_2cos(wt+/pi/4)[/tex]

Trying to eliminate t. Its easy when the phase shift is 0 or pi/2 but I'm not sure how to go about it in this case. I can get Ey to be a function of cos(wt)-sin(wt), or cos(wt)sin(wt) just using trigonometric formulas, but I don't know where to go from there.

The end result should be an elipse with axis that are not aligned with the x-y axis. If its quite difficult then I won't worry about it. I just get the feeling that I've done this before and I should know it, but somethings not clicking. Thanks.

edit: For some reason the LATEX graphics don't appear for me. Just in case I put the formulas in wrong they should be:

Ex = E1 cos(wt)

Ey = E2 cos(wt + pi/4)

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# Superposition of 2 vectors

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