Rotating ellipse function

No.14049454 ViewReplyOriginalReport
This is cool

https://www.desmos.com/calculator/vlgydioj6b

Click the play button to see what happens when the value of 'a' changes between zero and pi. I wonder if you could combine those two equations so that the graph stays the same (kind of like you could combine y = sqrt(1-x^2) and y = -sqrt(1-x^2) into y^2 + x^2 = 1).

Also a general thread for interesting graphs.