Ack, such a simple question, but I haven't worked with conic sections in years. Can anyone suggest an elegant way to show that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x=f*Sin(wt+\theta)[/tex]

[tex]y=g*Sin(wt+\phi)[/tex]

is an ellipse? I've tried using a rotation matrix on standard parametric ellipse equations and then solving for the angle of rotation and the axes sizes in terms of the variables but it seems messy. Then I tried getting it to fit the general equation but I'm not sure how that would work. However, a simpler method is eluding me. Any help?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Ellipse question

**Physics Forums | Science Articles, Homework Help, Discussion**