Finding the Asymptotes of a Hyperbola

  • Thread starter tade
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  • #1
552
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Given a hyperbola of the form:

[tex]r=\frac{A}{1+Bsinθ+Dcosθ}[/tex]

what are the polar equations for the asymptotes?
 
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Answers and Replies

  • #2
552
18
Oddly, plotting this with a computer will result in the asymptotes being plotted as well.
 
  • #3
158
6
You can always change it into cartesian coordinates but the work can be tedious. I have not done conics in polar plane in a long time, but I can add snapshots of of a book on how to do so If you would like.
 
  • #4
Office_Shredder
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An asymptote is going to necessarily have r going to infinity, so the denominator has to be going to zero.
 

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