| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2020 |
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| Session | June |
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| Topic | Addition & Double Angle Formulae |
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5 By first expressing the equation
$$\tan \theta \tan \left( \theta + 45 ^ { \circ } \right) = 2 \cot 2 \theta$$
as a quadratic equation in \(\tan \theta\), solve the equation for \(0 ^ { \circ } < \theta < 90 ^ { \circ }\).