| 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 | Easy -1.2 This is a straightforward C2 trigonometry question requiring basic graph sketching of standard trig functions and solving a simple equation using the double angle substitution. Both parts are routine textbook exercises with no problem-solving insight needed—students just apply standard techniques they've practiced repeatedly. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}[label=(\roman*)]
\item Sketch the graph of $y = \cos x$ for $0° \leqslant x \leqslant 360°$.
On the same axes, sketch the graph of $y = \cos 2x$ for $0° \leqslant x \leqslant 360°$. Label each graph clearly. [3]
\item Solve the equation $\cos 2x = 0.5$ for $0° \leqslant x \leqslant 360°$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 Q5 [5]}}