| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2005 |
| Session | June |
| 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 This is a straightforward two-part question requiring basic recall and application. Part (i) involves solving a simple trigonometric equation using calculator and symmetry (two solutions in the given range). Part (ii) tests knowledge of a standard horizontal stretch transformation. Both parts are routine C2-level exercises with no problem-solving or novel insight required, making this easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05i Inverse trig functions: arcsin, arccos, arctan domains and graphs |
| Answer | Marks |
|---|---|
| 293.58 .... to 3 or more sf cao | B1 Allow \(1.16\) or \(73.8\) Lost for extras in range. Ignore extras outside the range |
| Answer | Marks |
|---|---|
| sf 0.5 | 1 |
| Answer | Marks | Guidance |
|---|---|---|
| 1 | Horizontal, from y axis, in x axis, oe | 5 |
| 36 |
(i) $66°$ or $66.4$ or $66.5....$
293.58 .... to 3 or more sf cao | B1 Allow $1.16$ or $73.8$ Lost for extras in range. Ignore extras outside the range |
(ii) stretch (one way)
parallel to the x-axis
sf 0.5 | 1
1
1 | Horizontal, from y axis, in x axis, oe | 5
| | 368 (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 2005 Q8 [5]}}