De Moivre's Theorem Summary

De Moivre's Theorem and Complex Number Equations

Summary

de moivre's theorem provides a quick way to find powers of complex numbers.

it also allow equations of the form zn = r cis θ to be solved, including those of the form zn = an integer.

the solutions can then be shown on argand diagrams.

Key Skills
  • expand expressions such as (r cis θ)n
  • solve equations of the type zn = r cis θ and zn = an integer
  • show the solutions to such equations on argand diagrams

Vocabulary

polar form, complex numbers, modulus, argument, argand diagram.