| Exam Board | OCR |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2011 |
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| Session | January |
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| Topic | Harmonic Form |
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4
- Express \(24 \sin \theta + 7 \cos \theta\) in the form \(R \sin ( \theta + \alpha )\), where \(R > 0\) and \(0 ^ { \circ } < \alpha < 90 ^ { \circ }\).
- Hence solve the equation \(24 \sin \theta + 7 \cos \theta = 12\) for \(0 ^ { \circ } < \theta < 360 ^ { \circ }\).