| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trigonometric equations in context |
| Type | Sketch basic trig graph and solve |
| Difficulty | Moderate -0.8 Part (i) is a straightforward inverse cosine calculation requiring knowledge of the CAST diagram to find two solutions in the given range—a routine C2 skill. Part (ii) tests basic understanding of horizontal stretch transformations. Both parts are standard textbook exercises with no problem-solving or novel insight required, making this easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05o Trigonometric equations: solve in given intervals |
**Question 11:**
(i) $66°$ or $66.4$ or $66.5$ ... B1
Allow $1.16$ or $73.8$
$293.58$ ... to 3 or more sf cao B1
Lost for extras in range. Ignore extras outside the range
(ii) stretch (one way) B1
parallel to the x-axis B1
Horizontal, from y axis, in x axis, oe(i) Solve the equation $\cos x = 0.4$ for $0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }$.\\
(ii) Describe the transformation which maps the graph of $y = \cos x$ onto the graph of $y = \cos 2 x$.
\hfill \mbox{\textit{OCR MEI C2 Q11 [5]}}