| Exam Board | AQA |
|---|
| Module | Further Paper 2 (Further Paper 2) |
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| Session | Specimen |
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| Marks | 4 |
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| Topic | Complex numbers 2 |
|---|
5 Find the smallest value \(\theta\) of for which
$$( \cos \theta + \mathrm { i } \sin \theta ) ^ { 5 } = \frac { 1 } { \sqrt { 2 } } ( 1 - \mathrm { i } ) \{ \theta \in \mathbb { R } : \theta > 0 \}$$
[4 marks]