| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2022 |
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| Session | March |
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| Topic | Addition & Double Angle Formulae |
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5 The angles \(\alpha\) and \(\beta\) lie between \(0 ^ { \circ }\) and \(180 ^ { \circ }\) and are such that
$$\tan ( \alpha + \beta ) = 2 \quad \text { and } \quad \tan \alpha = 3 \tan \beta .$$
Find the possible values of \(\alpha\) and \(\beta\).