| Exam Board | Edexcel |
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| Module | C2 (Core Mathematics 2) |
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| Topic | Trig Equations |
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3. (a) Given that
$$5 \cos \theta - 2 \sin \theta = 0 ,$$
show that \(\tan \theta = 2.5\)
(b) Solve, for \(0 \leq x \leq 180\), the equation
$$5 \cos 2 x ^ { \circ } - 2 \sin 2 x ^ { \circ } = 0 ,$$
giving your answers to 1 decimal place.