Best Way to Graph in Polar Coordinates

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SUMMARY

The best method to graph polar coordinates, specifically for the equation r = 3 - 5 cos(θ), involves plotting multiple points and connecting them to form a curve. This approach is necessary unless the curve can be recognized as a standard form, such as a circle or ellipse. The discussion highlights the use of Maxima, a computer algebra system, for visualizing the graph. Users are encouraged to plot points to verify the accuracy of the resulting curve.

PREREQUISITES
  • Understanding of polar coordinates and their equations
  • Familiarity with plotting functions in a Cartesian plane
  • Basic knowledge of Maxima software for graphing
  • Ability to interpret mathematical curves and their properties
NEXT STEPS
  • Learn how to use Maxima for graphing polar equations
  • Explore transformations of polar equations into Cartesian form
  • Study standard polar curves such as circles and ellipses
  • Investigate numerical methods for plotting complex polar functions
USEFUL FOR

Mathematicians, educators, students, and anyone interested in graphing polar equations or enhancing their skills in mathematical visualization.

Amer
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what is the best way to graph in polar coordinates say

r = 3 - 5 \cos \theta

is it to plot several points then make a curve between them or ?
 
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Re: Best way to Graph is polar

Amer said:
what is the best way to graph in polar coordinates say

r = 3 - 5 \cos \theta

is it to plot several points then make a curve between them or ?

Hi Amer,

Unless the curve given is a standard curve (circle, ellipse etc) or can be transformed into a standard form, we have to plot it by marking points. I drew your curve using Maxima.

http://imageshack.us/f/337/figure.png/
 
Re: Best way to Graph is polar

Sudharaka said:
Hi Amer,

Unless the curve given is a standard curve (circle, ellipse etc) or can be transformed into a standard form, we have to plot it by marking points. I drew your curve using Maxima.

http://imageshack.us/f/337/figure.png/

thanks so i need to plot some points. ok
 
Re: Best way to Graph is polar

Amer said:
thanks so i need to plot some points. ok

Yes. Try plotting it and see if it really fits the curve I have attached. :)
 

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