**In today’s post: a work-around for specifying the domain of a polar functions. (hint: it involves a quick switch to parametric equations.)**

What’s your favorite type of equation? I have always loved polar equations, but in the last year or so, parametric equations have taken polar’s place as #1. This post may help to explain one of the reasons behind my change of heart.

Graphing polar functions is super fun. The curves polar functions generate are fun and unexpected. And when you graph them on Desmos, they’re simply stunning. But as of right now, you cannot specify the domain of a polar function on Desmos. As far as I can tell, it will only draw polar graphs for values of *θ* from 0 to 12π radians:

This suffices for many basic graphs, but even in the case of this spiral, it means that we aren’t seeing the whole picture. For example, what happens when θ is negative? What about for larger values of θ? Continue reading