Objectives
After completing this module, you will be able to:
define and plot polar coordinates
convert between polar coordinates and rectangular coordinates with and without technology
represent equations given in rectangular coordinates in terms of polar coordinates and vice versa
graph equations in the polar coordinate plane with and without graphing technology
identify and graph circles, cardioids, limaŅ«ons, rose curves and lemniscates
represent complex numbers on the complex plane in rectangular and polar forms
calculate the distance and midpoint between two numbers on the complex coordinate plane
rewrite complex numbers to trigonometric form and multiply complex numbers in trigonometric form
represent addition, subtraction, multiplication and conjugation of complex numbers geometrically on the complex plane
solve mathematical and real-world problems involving complex numbers represented algebraically or on the coordinate plane
sketch the graph of a curve in the plane represented parametrically and indicate the direction of motion
convert between a parametric representation of a plane curve and a rectangular equation
apply parametric equations to model applications involving motion in the plane