| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2017 |
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| Session | November |
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| Marks | 3 |
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| Topic | Trig Equations |
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5
- Show that the equation \(\frac { \cos \theta + 4 } { \sin \theta + 1 } + 5 \sin \theta - 5 = 0\) may be expressed as \(5 \cos ^ { 2 } \theta - \cos \theta - 4 = 0\).
[0pt]
[3] - Hence solve the equation \(\frac { \cos \theta + 4 } { \sin \theta + 1 } + 5 \sin \theta - 5 = 0\) for \(0 ^ { \circ } \leqslant \theta \leqslant 360 ^ { \circ }\).