| Exam Board | OCR |
|---|
| Module | C2 (Core Mathematics 2) |
|---|
| Year | 2005 |
|---|
| Session | January |
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| Topic | Trig Equations |
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5
- Prove that the equation
$$\sin \theta \tan \theta = \cos \theta + 1$$
can be expressed in the form
$$2 \cos ^ { 2 } \theta + \cos \theta - 1 = 0$$
- Hence solve the equation
$$\sin \theta \tan \theta = \cos \theta + 1$$
giving all values of \(\theta\) between \(0 ^ { \circ }\) and \(360 ^ { \circ }\).