| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trigonometric equations in context |
| Type | Sketch basic trig graph and solve |
| Difficulty | Easy -1.2 This is a straightforward question requiring a standard sine graph sketch and solving a basic trigonometric equation using known exact values. The equation reduces to sin θ = -1/2, which has well-known solutions at 7π/6 and 11π/6. No problem-solving insight is needed—just recall of the sine graph and standard angles, making it easier than average. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
6 (i) Sketch the graph of $y = \sin \theta$ for $0 \leqslant \theta \leqslant 2 \pi$.\\
(ii) Solve the equation $2 \sin \theta = - 1$ for $0 \leqslant \theta \leqslant 2 \pi$. Give your answers in the form $k \pi$.
\hfill \mbox{\textit{OCR MEI C2 2008 Q6 [5]}}