| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2016 |
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| Session | October |
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| Topic | Trig Equations |
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10. (a) Given that
$$8 \tan x = - 3 \cos x$$
show that
$$3 \sin ^ { 2 } x - 8 \sin x - 3 = 0$$
(b) Hence solve, for \(0 \leqslant \theta < 360 ^ { \circ }\),
$$8 \tan 2 \theta = - 3 \cos 2 \theta$$
giving your answers to one decimal place.
(Solutions based entirely on graphical or numerical methods are not acceptable.)
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