7.1 Conics in Polar Form

OpenStax Precalculus 2e — Chapter 10, Section 10.5

Learning Objectives

  • Write the polar equation of a conic: \(r = \frac{ed}{1 \pm e\cos\theta}\) or \(r = \frac{ed}{1 \pm e\sin\theta}\)

  • Classify a conic by its eccentricity: ellipse (\(e < 1\)), parabola (\(e = 1\)), hyperbola (\(e > 1\))

  • Identify the directrix and focus from a polar conic equation

  • Graph conics in polar form

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.