| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Reciprocal Trig & Identities |
| Type | Inverse function graphs and properties |
| Difficulty | Moderate -0.8 This is a straightforward graph sketching question requiring knowledge of the arccos function's standard shape (decreasing from π to 0) and applying a vertical stretch by factor 2. It tests basic understanding of inverse trig functions with minimal problem-solving—students need only recall the domain, range, and shape of arccos, then apply a simple transformation. |
| Spec | 1.05i Inverse trig functions: arcsin, arccos, arctan domains and graphs |
3 Sketch the curve $y = 2 \arccos x$ for $- 1 \leqslant x \leqslant 1$.
\hfill \mbox{\textit{OCR MEI C3 2009 Q3 [3]}}