MAT 110 Lecture Notes - Lecture 23: Polar Coordinate System, Precalculus, Cardioid
Document Summary
Provide a generalization to each of the classi cations listed in this section. 1. 1 passing through a pole to help make an angle, , with the given polar axis. Rectangular equation : y = (tan ) x. P olar equation : r cos = a. P olar equation : r sin = a. 2. 1 center at the pole with radius a. Rectangular equation : x2 + y2 = a2 [a > 0] P olar equation : r = a [a > 0] Rectangular equation : x2 + y2 = 2ax [a > 0] Rectangular equation : x2 + y2 = 2ay [a > 0] P olar equation : r = 2ax [a > 0] P olar equations : r = a a sin [a > 0] r = a a cos [a > 0] P olar equations : r = a b sin [0 < a < b] r = a b cos [0 < a < b]
