- Subject:
- Mathematics, Calculus, Trigonometry
- Material Type:
- Module
- Provider:
- Ohio Open Ed Collaborative
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- License:
- Creative Commons Attribution-NonCommercial 4.0
- Language:
- English
- Media Formats:
- Downloadable docs, Text/HTML, Video

# Chapter 11.7 - Polar Form of Complex Numbers

# Khan Academy - Complex Number Arithemtic in Polar Form

# Khan Academy - Polar Form of Complex Numbers

# Polar Form of Complex Numbers, Euler's Notation, DeMoivre's Theorem, Applications

## Overview

Complex numbers, Euler's notation, sine-cosine representation, DeMoivre's Theorem, product and quotient of complext numbers, powers and roots of complex numbers, magnitude, polar coordinates,

# Complex Numbers and their Polar Form

In this module, complex numbers are represented in terms of polar coordinates. This representation helps in evaluating complex number arithmetic, particularly their powers and roots as an application of DeMoivre's Theorem.

**Learning Objectives:**

- Complex number - real and imaginary part
- Complex Plane
**Modulus**and**Argument**of a complex number, and their properties- Polar form of complex number
**Euler's Formula for a complex number**- Products, Powers and Quotients of complex numbers, DeMoivre's Theorem
- nth roots of complex numbers