Complex Numbers Review (Year 2) — Exam-style Questions

multi-part questions, Core Pure 2: de Moivre’s theorem, exponential form, roots, trigonometric identities and series · marks per part · full worked solutions

Each question builds up part by part; give exact answers, fully simplified, with arguments in −π < θ ≤ π
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These are computer-generated exam-style questions. They are not real exam board questions, and the style, difficulty and mark allocations may not be completely representative of real exam board material.