Converting Parametric Equation to Rectangular Form

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This video explains how to write a parametric equation as an equation in rectangular form.

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hopefully you know that a *paid* online course uses your videos as teaching material (national university)

makarlock

We solved the parametric equations for cos(t) = x/3 and sin(t) = y/3. At this point since sin^2(t) + cos^2(t) = 1, we have (y/3)^2 + (x/3)^2 = 1. He had to square them because of the pythagorean identity. sin(t) + cos(t) does not equal 1. I hope that helps.

Mathispoweru

Most helpful math video i have encountered! Thanks so much!

Siehii

I like your videos a lot. You always do many different types of each problem. It really helps since my teacher always try to do the non basic ones.

justinbeaubien

Another excellent video James. Thanks for your great instruction.

gdawgrapper

Yes!! Thank you for explaining how to eliminate the parameter of trig functions!

haleycochran

In the last example, why is it not an ellipse? I mean when the marker color was red, it had the formula of an ellipse? Is it because the distance to each vertici was the same?

annieemme

This might be a stupid question and I could be totally wrong but cos^(2) t + sin^(2) t = 1 and you have cos t + sin t. So you're saying you can still use that identity even if the trig functions aren't squared?

bodlewadle

For some reason my answer key leaves out domain restrictions... ?

EpicSelenium

what if one of the equations is squared and one is not? eg x=5cos^2(t) and y=sin(t)? This is the only video they give for help with this type of problem, they ALWAYS give this type of problem, and this type of problem isn't in this video.

bernie

Is it possible for to the anti-version of this as "Converting Rectangular to Parametric Equation Form" ?

istraight

what if you had x, y, z variables? this method becomes hard to use

Offroadcircus

@FantastiCATastrophy I do have videos for this if you search my channel. Thanks

Mathispoweru

Hi, i like your video, i have a question, um how can you do the opposite, converting from rectangular equation to parametric form. Please help, is in my review for a test and idk how to start.

mclovinmae

What if you have three parametric equations.... so what if you're working in R3

SayinPrincess

The problem that I am stuck on involves trigonometric equations though

Joesire

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