| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Identify trig function from graph |
| Difficulty | Easy -1.8 This is a pure recall question testing recognition of standard function graphs with no calculation or problem-solving required. Students need only match memorized curve shapes to given options, making it significantly easier than average A-level questions. |
| Spec | 1.05h Reciprocal trig functions: sec, cosec, cot definitions and graphs1.05i Inverse trig functions: arcsin, arccos, arctan domains and graphs |
\includegraphics{figure_1}
Each diagram above shows part of a curve, the equation of which is one of the following:
$$y = \sin^{-1} x, \quad y = \cos^{-1} x, \quad y = \tan^{-1} x, \quad y = \sec x, \quad y = \cosec x, \quad y = \cot x.$$
State which equation corresponds to
\begin{enumerate}[label=(\roman*)]
\item Fig. 1, [1]
\item Fig. 2, [1]
\item Fig. 3. [1]
\end{enumerate}
\hfill \mbox{\textit{OCR C3 2009 Q1 [3]}}