> How can we plot implicit polar equations like r^2=5-4cos(theta) in
> SageMath?
>
Hmm, that is a good question. We certainly support implicit plotting and
polar plotting, but it doesn't seem that we do together. The way that
polar plotting is supported is basically that the data is switched to
[y*cos(x),y*sin(x)] before actually rendering.
Now, you can do something like this:
var('x,y')
r = sqrt(x^2+y^2)
theta = arctan2(y,x)
implicit_plot(r^2==5-4*cos(theta),(x,-4,4),(y,-4,4),aspect_ratio=1)
https://sagecell.sagemath.org/?q=mvmspq
But obviously that is not ideal.
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