| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2018 |
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| Session | October |
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| Topic | Trig Equations |
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12. (a) Show that the equation
$$6 \cos x - 5 \tan x = 0$$
may be expressed in the form
$$6 \sin ^ { 2 } x + 5 \sin x - 6 = 0$$
(b) Hence solve for \(0 \leqslant \theta < 360 ^ { \circ }\)
$$6 \cos \left( 2 \theta - 10 ^ { \circ } \right) - 5 \tan \left( 2 \theta - 10 ^ { \circ } \right) = 0$$
giving your answers to one decimal place.
(Solutions based entirely on graphical or numerical methods are not acceptable.)