| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Solve trigonometric equation with approximate values |
| Difficulty | Moderate -0.8 This is a straightforward C2 question testing basic transformations of sine graphs and routine equation solving. Part (a) requires sketching a horizontal translation, part (b) involves substituting x=0 and y=0 with exact values (standard angles), and part (c) is a standard 'solve sin(expression)=value' question using calculator and CAST diagram. All techniques are routine textbook exercises with no problem-solving insight required, making it easier than average. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}[label=(\alph*)]
\item Sketch, for $0 \leq x \leq 2\pi$, the graph of $y = \sin\left(x + \frac{\pi}{6}\right)$.
[2]
\item Write down the exact coordinates of the points where the graph meets the coordinate axes.
[3]
\item Solve, for $0 \leq x \leq 2\pi$, the equation
$\sin\left(x + \frac{\pi}{6}\right) = 0.65$,
giving your answers in radians to 2 decimal places.
[5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q9 [10]}}