| Exam Board | OCR MEI |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2013 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Addition & Double Angle Formulae |
| Type | Find exact trigonometric values |
| Difficulty | Moderate -0.8 This question requires only standard recall of special angle triangles (45-45-90 and 30-60-90) and straightforward application of the tan addition formula tan(45°+30°). The geometric setup is well-known, and the algebraic manipulation is routine. While it has multiple parts worth 7 marks, each step follows a predictable pattern with no problem-solving insight required, making it easier than average. |
| Spec | 1.05g Exact trigonometric values: for standard angles1.05l Double angle formulae: and compound angle formulae |
| Answer | Marks |
|---|---|
| 3 | 10° |
Question 3:
3 | 10°
north:
1°
north:
5°
south:
15°
south:Using appropriate right-angled triangles, show that $\tan 45° = 1$ and $\tan 30° = \frac{1}{\sqrt{3}}$.
Hence show that $\tan 75° = 2 + \sqrt{3}$. [7]
\hfill \mbox{\textit{OCR MEI C4 2013 Q3 [7]}}