Specialist Mathematics Β· Unit 3 Β· Further complex numbers Β· Complex arithmetic using polar form

Use De Moivre’s theorem for integral powers. 𝑧𝑛 = π‘Ÿπ‘› cis (π‘›πœƒ)

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Prove 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).
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