| Exam Board | OCR MEI |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2008 |
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| Session | January |
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| Topic | Harmonic Form |
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1 Express \(3 \cos \theta + 4 \sin \theta\) in the form \(R \cos ( \theta - \alpha )\), where \(R > 0\) and \(0 < \alpha < \frac { 1 } { 2 } \pi\).
Hence solve the equation \(3 \cos \theta + 4 \sin \theta = 2\) for \(- \pi \leqslant \theta \leqslant \pi\).