| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | 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 trigonometry question testing basic graph transformations and equation solving. Part (a) requires sketching a simple horizontal translation of sine, part (b) involves substituting x=0 and y=0 into a standard trig function, and part (c) is a routine application of CAST diagram with one transformation. All techniques are standard bookwork 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 |
| Answer | Marks | Guidance |
|---|---|---|
| (a) Scales (-1, 1 and 360) | B1 | |
| Shape, position | B1 | (2) |
| (b) Points (0, 0.5)(150, 0) (330, 0) | B1 B1 B1 | (3) |
| (c) \((x + 30) = 210°\) or \(330°\) | B1 | One of these |
| \(x = 180°, 300°\) | M1 A1 | Subtract 30; Both correct (3) |
**(a)** Scales (-1, 1 and 360) | B1 |
Shape, position | B1 | (2)
**(b)** Points (0, 0.5)(150, 0) (330, 0) | B1 B1 B1 | (3)
**(c)** $(x + 30) = 210°$ or $330°$ | B1 | One of these
$x = 180°, 300°$ | M1 A1 | Subtract 30; Both correct (3)\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 Q4 [8]}}