| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Simple double angle equations (direct substitution) |
| Difficulty | Moderate -0.8 This is a straightforward double-angle trig equation requiring students to substitute u=2x, find reference angles using inverse sine, identify solutions in the expanded range 0°<2x<360°, then divide by 2. It's more routine than average since it only requires one standard technique with no complications, though slightly more involved than basic single-angle equations. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
| Answer | Marks | Guidance |
|---|---|---|
| 6 | 105 and 165 | 3 |
Question 6:
6 | 105 and 165 | 3 | B1 for one of these or M1 for $2x = 210$ or 330 | 3
6 Solve the equation $\sin 2 x = - 0.5$ for $0 ^ { \circ } < x < 180 ^ { \circ }$.
\hfill \mbox{\textit{OCR MEI C2 Q6 [3]}}