| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2014 |
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| Session | January |
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| Topic | Trig Graphs & Exact Values |
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7. (a) Show that
$$12 \sin ^ { 2 } x - \cos x - 11 = 0$$
may be expressed in the form
$$12 \cos ^ { 2 } x + \cos x - 1 = 0$$
(b) Hence, using trigonometry, find all the solutions in the interval \(0 \leqslant x \leqslant 360 ^ { \circ }\) of
$$12 \sin ^ { 2 } x - \cos x - 11 = 0$$
Give each solution, in degrees, to 1 decimal place.
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