| Exam Board | OCR MEI |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2009 |
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| Session | June |
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| Topic | Trig Equations |
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7 Show that the equation \(4 \cos ^ { 2 } \theta = 4 - \sin \theta\) may be written in the form
$$4 \sin ^ { 2 } \theta - \sin \theta = 0$$
Hence solve the equation \(4 \cos ^ { 2 } \theta = 4 - \sin \theta\) for \(0 ^ { \circ } \leqslant \theta \leqslant 180 ^ { \circ }\).