Calculus, visualizations, animations, AP Calculus
PolarReciprocal.nb first shows a transformation of the circle r = 3 into the circle r = 3sin (theta). Second, it shows the original and reciprocal graphs through the animation. Interesting stuff!
Dover, R. (2017). Polar reciprocal [Mathematica notebook]. Retrieved from http://digitalcommons.imsa.edu/mathematica_notebooks/13