| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Sketch single standard trig graph (sin/cos/tan) |
| Difficulty | Moderate -0.8 This is a straightforward C2 question testing basic transformations of sine graphs and solving simple trigonometric equations. Part (a) requires sketching a horizontal translation (routine), part (b) involves substituting x=0 and y=0 into a transformed sine function, and part (c) requires recognizing the exact value sin⁻¹(-1/2) and applying it to a shifted argument. All components are standard textbook exercises with no problem-solving insight required, making this easier than average but not trivial due to the multi-part nature and exact value work. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}[label=(\alph*)]
\item Sketch, for $0 \leq x \leq 360°$, the graph of $y = \sin (x + 30°)$. [2]
\item Write down the coordinates of the points at which the graph meets the axes. [3]
\item Solve, for $0 \leq x < 360°$, the equation
$$\sin (x + 30°) = -\frac{1}{2}.$$ [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q36 [8]}}