| Exam Board | Edexcel |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2020 |
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| Session | January |
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| Topic | Reciprocal Trig & Identities |
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7. (a) Show that the equation
$$8 \tan \theta = 3 \cos \theta$$
may be rewritten in the form
$$3 \sin ^ { 2 } \theta + 8 \sin \theta - 3 = 0$$
(b) Hence solve, for \(0 \leqslant x \leqslant 90 ^ { \circ }\), the equation
$$8 \tan 2 x = 3 \cos 2 x$$
giving your answers to 2 decimal places.