Cartesian and polar forms and de Moivre's theorem

What this note covers

1. Cartesian arithmetic and conjugates
2. Modulus, argument and quadrants
3. Multiplication as dilation and rotation
4. Integer powers with de Moivre
5. Deriving trigonometric identities
6. Exact answers and technology
7. Extended polar calculation: exact products, quotients and powers
8. De Moivre as an identity engine and a verification tool

8 sections · 10 key terms & formulas · 6 common mistakes