Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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.

share|improve this question
3  
First question: did you try a few examples with specific values of $b$, $n$, $a$? If not, then try them! –  Arturo Magidin Feb 9 '12 at 6:58
1  
If you don't have a graphic software you can use Wolfram Alpha to experiment. –  yohBS Feb 9 '12 at 7:37
2  
Just play around! Don't be afraid... –  J. M. Feb 9 '12 at 8:00

1 Answer 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)

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.