lesson
Proving de Moivre's Theorem for Rational Numbers
Extend the proof of de Moivre's theorem to rational exponents
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de Moivre's Theorem: Proof and Powers
6 lessons
Goal
State and prove de Moivre's theorem for integer and rational exponents, and apply it to compute powers of complex numbers in modulus-argument form.
6 lessons
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- Introduction to de Moivre's TheoremUp next
- Proving de Moivre's Theorem for Positive IntegersNot started yet
- Proving de Moivre's Theorem for Negative IntegersNot started yet
- Proving de Moivre's Theorem for Rational NumbersYou are here
- Using de Moivre's Theorem to Find PowersNot started yet
- de Moivre's Theorem: Powers of Complex Numbers (Practice)Not started yet
Learning standards covered
FM-A1General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeConstruct proofs using mathematical induction; contexts include sums of series, divisibility, and powers of matrices
FM-B8General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeUnderstand de Moivre’s theorem and use it to find multiple angle formulae and sums of series