| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Find coordinates of turning points |
| Difficulty | Moderate -0.8 This is a straightforward C2 trigonometric graphs question requiring basic transformations (amplitude 5, frequency 3) and routine inverse sine calculation. Part (a) tests standard graph sketching, part (b) requires identifying max/min from the transformation, and part (c) involves a simple rearrangement and calculator work. All techniques are standard textbook exercises with no problem-solving insight required. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
$$f(x) = 5 \sin 3x°, \quad 0 \leq x \leq 180.$$
\begin{enumerate}[label=(\alph*)]
\item Sketch the graph of $f(x)$, indicating the value of $x$ at each point where the graph intersects the $x$-axis. [3]
\item Write down the coordinates of all the maximum and minimum points of $f(x)$. [3]
\item Calculate the values of $x$ for which $f(x) = 2.5$ [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q24 [10]}}