1 / 9

Polar Equation Graphs

Polar Equation Graphs. 5 major kinds of Polar Graphs. Circles r = a sin Lamicons r = a + b sin Roses r = a sin (n Archimedean Spiral r = a ± b θ Lemniscates r 2 = a 2 sin 2. Circles. General Form r = a cos θ r = a sin θ. Lamicons.

gizela
Download Presentation

Polar Equation Graphs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Polar Equation Graphs

  2. 5 major kinds of Polar Graphs • Circles r = a sin • Lamiconsr = a + b sin • Roses r = a sin (n • Archimedean Spiral r = a ± bθ • Lemniscates r2 = a2 sin 2

  3. Circles • General Form • r = a cosθ • r = a sin θ

  4. Lamicons r = a ± b cosθ or r = a ± b sin θ 3 scenarios a = b cardioids a > b dimpled a < b loopy

  5. Cardioids (Lamicon)a = b • General form r = a ± a cosθ or r = a ± a sin θ Basically a vaguely Heart shaped graph Can be an upside down or sideways heart. Always includes the origin

  6. Lamiconsa > b Does not ever Include the origin

  7. Lamiconsa < b Includes an Inner loop Always includes The origin

  8. Roses r = a cos bθ a determines radius b relates to the petals r = 3 cos 2θ

  9. Archimedian Spiral r = a ± bθ

More Related