(And if you’re more comfortable with degrees, just switch to degree mode and use 0 to 360.) To get an entire circle, we’ll need to graph all the points from 0 to 2π radians. Instead of just a single point, we are graphing for a whole set of a values. Wanna know the parametric equations? You’re looking at them! x and y are both defined in terms of the parameter a. One of my favorite cute little features of this circle is this:Įvery point on the unit circle can be written as. Remember our good friend from precalculus, the unit circle? You’re probably familiar with its rectangular form:Īnd you might be familiar with the polar form, so beautiful in its simplicity:
For now, we’ll look at one with radius 1. For a specific example (that I happen to think is a great one), let’s talk about the circle. Sounds tricky, but it’s a lot simpler than it might sound. Instead of defining an equation with x and y in terms of each other, we define our set of coordinate pairs in terms of a third parameter.
DESMOS ACTIVITY UNIT CIRCLE SERIES
If you already know what they are and you’ve been wanting to give them a whirl, then you are in luck, friend! This whole series of posts is for you. But if you’ve ever wondered a) “What are parametric equations?” or b) “What’s all the fuss? I’m perfectly happy graphing without them, thank you very much.”, this post is for you. If you’ve read my posts before it may not surprise you that I love parametric equations more than rectangular or polar equations.
DESMOS ACTIVITY UNIT CIRCLE SIMULATOR
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