| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Sketch two trig curves and count intersections/solutions |
| Difficulty | Easy -1.3 This is a straightforward question testing basic knowledge of trigonometric graphs and transformations. Part (i) requires sketching two standard cosine curves with different periods—a routine task requiring only recall of graph shapes. Part (ii) asks for a simple vertical stretch transformation, which is standard bookwork. The question involves no problem-solving, multi-step reasoning, or novel insight, making it easier than average for A-level. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05f Trigonometric function graphs: symmetries and periodicities |
| Answer | Marks |
|---|---|
| 3 | (i)sketch of cosx ; one cycle, |
| Answer | Marks |
|---|---|
| sf 3 | 1 |
| Answer | Marks |
|---|---|
| D1 | 5 |
Question 3:
3 | (i)sketch of cosx ; one cycle,
sketch of cos2x; two cycles,
Both axes scaled correctly
(ii)(1-way) stretch parallel to y axis
sf 3 | 1
1
D1
1
D1 | 5\begin{enumerate}[label=(\roman*)]
\item On the same axes, sketch the graphs of $y = \cos x$ and $y = \cos 2x$ for values of $x$ from $0$ to $2\pi$. [3]
\item Describe the transformation which maps the graph of $y = \cos x$ onto the graph of $y = 3 \cos x$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 Q3 [5]}}