1
$\begingroup$

I am new to polar graphs and I am trying to investigate some certain cases:

  1. What happens when you change the $b$ value to different positive integers in polar equations of the forms: $r=b\cos(\theta)$ and $r=b\sin(\theta)$?

  2. What happens when you keep $b$ constant, but change the $n$ value to different positive integers in polar equations of the forms: $r=b\cos(n\theta)$, $r=b\sin(n\theta)$?

  3. What happens when you keep $b$ and $n$ constant, but change the $a$ value to different integers in polar equations of the forms: $r=a+b\cos(n\theta)$, $r=a+b\sin( n \theta)$?

Thanks.

  • 2
    Just play around! Don't be afraid...2012-02-09

1 Answers 1

1

As other said, the best answer is to experiment. Wolfram Alpha was already mentioned, but I'll point out that fooplot has clean and intuitive interface, easy ways to zoom in/out, combine multiple plots, share plots and so on.

enter image description here

(I have no affiliation with fooplot, in case you wonder)