| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trigonometric equations in context |
| Type | Convert sin/cos ratio to tan |
| Difficulty | Moderate -0.8 This is a straightforward two-part question requiring a standard sketch of tan x and solving a basic trig equation by dividing to get tan x = 3/4. Both parts are routine C2-level exercises with no problem-solving insight needed, making it easier than average. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
**Question 12:**
**(i)**
$\tan x = \frac{3}{4}$
M1
A1A1
Allow 37, 217
**(ii)**
36.8° to 36.9° and 216.8° to 216.9°
A1A1
No numbers required on axes unless more branches shown.
G1 for a correct first sweep12 (i) Sketch the graph of $y = \tan x$ for $0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }$.\\
(ii) Solve the equation $4 \sin x = 3 \cos x$ for $0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }$.
\hfill \mbox{\textit{OCR MEI C2 Q12 [5]}}