Finding the Asymptotes of a Hyperbola

1. tade

145
Given a hyperbola of the form:

$$r=\frac{A}{1+Bsinθ+Dcosθ}$$

what are the polar equations for the asymptotes?

Last edited: Dec 5, 2013
2. tade

145
Oddly, plotting this with a computer will result in the asymptotes being plotted as well.

3. TitoSmooth

163
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

4,498
Staff Emeritus
An asymptote is going to necessarily have r going to infinity, so the denominator has to be going to zero.

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