| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Session | Specimen |
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| Topic | Addition & Double Angle Formulae |
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3 The angles \(\theta\) and \(\phi\) lie between \(0 ^ { \circ }\) and \(180 ^ { \circ }\), and are such that
$$\tan ( \theta - \phi ) = 3 \quad \text { and } \quad \tan \theta + \tan \phi = 1$$
Find the possible values of \(\theta\) and \(\phi\).