| 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. Part (ii) is basic recall of horizontal stretch transformations. Both parts are routine C2-level exercises with no problem-solving or conceptual challenge beyond standard technique application. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05o Trigonometric equations: solve in given intervals |
| Answer | Marks |
|---|---|
| (i) \(66°\) or \(66.4\) or \(66.5\) … | B1 |
| Answer | Marks |
|---|---|
| \(293.58\) … to \(3\) or more sf cao | B1 |
| Answer | Marks |
|---|---|
| (ii) stretch (one way) | B1 |
| parallel to the \(x\)-axis | B1 |
| Answer | Marks |
|---|---|
| sf \(0.5\) | B1 |
**Question 7:**
(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
sf $0.5$ | B17 (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 Q7 [5]}}