| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Equation with non-equation preliminary part (sketch/proof/identity) |
| Difficulty | Moderate -0.8 Part (i) is a standard recall task requiring knowledge of the tan graph's shape and asymptotes. Part (ii) is a routine trigonometric equation solved by dividing to get tan x = 3/4, then finding angles in the specified range—straightforward application of basic techniques with no problem-solving insight required. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
| Answer | Marks |
|---|---|
| 8 | (i) |
| Answer | Marks |
|---|---|
| (ii)36.8 to 36.9 and 216.8 to 216.9 | 2 |
| Answer | Marks |
|---|---|
| A1A1 | no numbers required on axes unless |
| Answer | Marks |
|---|---|
| Allow 37, 217 | 5 |
Question 8:
8 | (i)
tan x = ¾
(ii)36.8 to 36.9 and 216.8 to 216.9 | 2
M1
A1A1 | no numbers required on axes unless
more branches shown.
G1 for a correct first sweep
Allow 37, 217 | 5\begin{enumerate}[label=(\roman*)]
\item Sketch the graph of $y = \tan x$ for $0° \leqslant x \leqslant 360°$. [2]
\item Solve the equation $4 \sin x = 3 \cos x$ for $0° \leqslant x \leqslant 360°$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 Q8 [5]}}