Complex arithmetic using polar form

Specialist Mathematics · Unit 3 — Further complex numbers, proof, vectors and matrices · Further complex numbers

Learning objectives (2)

LO-1Prove complex number identities involving modulus and argument, e.g. 𝑧 𝑧̅ = |𝑧|2, |𝑧1| |𝑧2| = |𝑧1 𝑧2| and arg(𝑧1 𝑧2) = arg(𝑧1) + arg(𝑧2).LO-2Use De Moivre’s theorem for integral powers. 𝑧𝑛 = 𝑟𝑛 cis (𝑛𝜃)

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