Best Way to Graph in Polar Coordinates

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Discussion Overview

The discussion revolves around the best methods for graphing equations in polar coordinates, specifically the equation r = 3 - 5 cos θ. Participants explore different approaches to plotting this type of curve.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions the best way to graph the polar equation, suggesting plotting several points and connecting them.
  • Another participant indicates that unless the curve is a standard form (like a circle or ellipse), it is necessary to plot points to visualize the curve.
  • A participant mentions using Maxima to graph the curve and shares an image link as a reference.
  • There is a suggestion to plot points and compare them to the provided graph to assess accuracy.

Areas of Agreement / Disagreement

Participants generally agree that plotting points is necessary for non-standard curves, but there is no consensus on the best method or approach to take.

Contextual Notes

The discussion does not resolve the effectiveness of different plotting methods or the accuracy of the graph produced by Maxima, leaving these aspects open for further exploration.

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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