Complex Numbers: Modulus – Argument Form

In these videos I show you how to derive the modulus – argument of complex numbers from an Argand Diagram. We progress from plotting complex numbers on an Argand Diagram to converting between the x + iy and modulus – argument.

Future lessons go on to performing calculations with complex numbers in modulus-argument form and proving De’ Moivres theorem.

Part 1 – Deriving the Modulus-Argument form of complex numbers.

Deriving the Modulus-Argument form of complex numbers.

Part 2 – Writing complex numbers in Modulus – Argument form.

Writing complex numbers in Modulus – Argument form

Part 3 – Converting Modulus-Argument form back to x + iy

Converting Modulus-Argument form back to x + iy

Mr Mathematics’ Membership

Unlock a treasure trove of mathematical mastery! 🌟 Join now and gain access to over 800 comprehensive mathematics lessons tailored to propel your teaching to the next level.

Why wait? Enhance your curriculum and empower your students.

Mr Mathematics Blog

Developing Mathematical Thinking Beyond Procedural Fluency

A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.

Converting Between Fractions, Decimals and Percentages

How to teach converting between fractions, decimals and percentages.

From Key Skills to Deep Connections: Problem Solving in Secondary Maths

Four problem solving lessons to develop student’s mathematical reasoning and communication skills.