I am new to polar graphs and I am trying to investigate some certain cases:
What happens when you change the $b$ value to different positive integers in polar equations of the forms: $r=b\cos(\theta)$ and $r=b\sin(\theta)$?
What happens when you keep $b$ constant, but change the $n$ value to different positive integers in polar equations of the forms: $r=b\cos(n\theta)$, $r=b\sin(n\theta)$?
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.