Exploration of Polar Graphs (Cosine)

J Rothman
Explore graphs of polar equations. Adjust sliders to see how the graph changes as various parameters are adjusted. This worksheet only allows the exploration of cosine. Another worksheet with sine will be posted soon! f(x) has been mapped to allow you to see how polar equations of the form: r = a + bcos(cθ) will graph in the polar plane. a = constant b = coefficient of cosθ c = frequency You can adjust these to form circles, limaçons, and rose petals. The θ slider is the key to the exploration - it controls the domain and can be adjusted to any value between 0 and 6.28 (ie. 0 and 2π). Enjoy!