| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Equation with non-equation preliminary part (sketch/proof/identity) |
| Difficulty | Moderate -0.8 This is a straightforward C2 trigonometry question requiring a standard sine curve sketch and solving a basic trigonometric equation using CAST diagram or reference angles. Both parts are routine textbook exercises with no problem-solving insight needed, making it easier than average but not trivial since it requires understanding of the sine function's periodicity and symmetry. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
| Answer | Marks |
|---|---|
| 6 | (ii))correct sine shape throug |
| Answer | Marks |
|---|---|
| (iii) π/6 and 11π/6 | 1 |
| Answer | Marks | Guidance |
|---|---|---|
| 3 | B2 for one of these; 1 for −π/6 found | 5 |
Question 6:
6 | (ii))correct sine shape throug
amplitude of 1 and period 2π shown
(iii) π/6 and 11π/6 | 1
1
3 | B2 for one of these; 1 for −π/6 found | 5\begin{enumerate}[label=(\roman*)]
\item Sketch the graph of $y = \sin \theta$ for $0 \leqslant \theta \leqslant 2\pi$. [2]
\item Solve the equation $2 \sin \theta = -1$ for $0 \leqslant \theta \leqslant 2\pi$. Give your answers in the form $k\pi$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 Q6 [5]}}