Mathematics: Analysis and Approaches · Topic 1: Number and algebra

AHL1.13 — Polar and Euler form

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Modulus-argument (polar) and Euler form

   $z=r(\cos\theta+i\sin\theta)=r\,\mathrm{cis}\,\theta=re^{i\theta}$ and conversions.

2. Products and quotients

   Multiply moduli and add arguments; the geometric meaning.