Finding the Asymptotes of a Hyperbola

[tade]

Given a hyperbola of the form:

$$r=\frac{A}{1+Bsinθ+Dcosθ}$$

what are the polar equations for the asymptotes?

 

[tade]

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

 

[TitoSmooth]

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.

 

[Office_Shredder]

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