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Extension 2 · Year 12 · Module 13

Complex Numbers II

De Moivre's theorem and its uses: roots of unity, nth roots of complex numbers, the conjugate root theorem, polynomial equations, sums and products of roots, and trigonometric identities derived from complex expansions.

12lessons
MEX-N2NESA outcome
6–8hrs study
Start Lesson 1 →
1
De Moivre's Theorem
2
Roots of Unity
3
nth Roots of Complex Numbers
4
Polynomial Equations with Complex Roots
5
Conjugate Root Theorem
6
Sums and Products of Roots
7
Solving Complex Polynomial Equations
8
Trig Identities via Complex Numbers
9
Binomial Expansion via $(\cos+i\sin)^n$
10
Mixed Complex Number Problems I
11
Mixed Complex Number Problems II
12
Module 13 Synthesis & Exam Technique