| Exam Board | AQA |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2007 |
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| Session | June |
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| Topic | Complex numbers 2 |
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3 Use De Moivre's Theorem to find the smallest positive angle \(\theta\) for which
$$( \cos \theta + \mathrm { i } \sin \theta ) ^ { 15 } = - \mathrm { i }$$
(5 marks)