Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Trigonometry
Topic: Complex, Parametric, and Polar Forms
Subtopic: Products and Quotients in Trig Form

Overview

From an intermediate algebra course we know how to multiply and divide Complex numbers in standard form. In this lesson we learn to multiply and divide Complex numbers in trigonometric form. You will find this format far easier to use I assure you! No more FOILing complex numbers!

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 9.2.1 Algebraically find the product of two Complex numbers in trigonometric form using the formula z1·z2=r1r2cis(θ12)
• 9.2.2 Algebraically find the quotient of two Complex numbers in trigonometric form using the formula z1/z2=r1/r2·cis(θ12)

Terminology

Terms you should be able to define: product rule (of two Complex numbers in trig form), quotient rule (of two Complex numbers in trig form)