OpenStax, Algebra and Trigonometry 2e §12.5 Conic Sections in Polar Coordinates · Example 1 · Geometry · Conic sections

Identifying a Conic Given the Polar Form

For each of the following equations, identify the conic with focus at the origin, the directrix, and the eccentricity.

(a) $r = \frac{6}{3 + 2 s in θ}$
(b) $r = \frac{12}{4 + 5 cos θ}$
(c) $r = \frac{7}{2 - 2 s in θ}$

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OpenStax, Algebra and Trigonometry 2e · §12.5 Conic Sections in Polar Coordinates · Example 1

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