| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2016 |
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| Session | March |
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| Topic | Addition & Double Angle Formulae |
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2 Express the equation \(\tan \left( \theta + 45 ^ { \circ } \right) - 2 \tan \left( \theta - 45 ^ { \circ } \right) = 4\) as a quadratic equation in \(\tan \theta\). Hence solve this equation for \(0 ^ { \circ } \leqslant \theta \leqslant 180 ^ { \circ }\).