| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2012 |
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| Session | November |
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| Topic | Addition & Double Angle Formulae |
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3 Solve the equation
$$\sin \left( \theta + 45 ^ { \circ } \right) = 2 \cos \left( \theta - 30 ^ { \circ } \right)$$
giving all solutions in the interval \(0 ^ { \circ } < \theta < 180 ^ { \circ }\).