| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Find exact trig values from given ratio |
| Difficulty | Moderate -0.8 This is a straightforward trigonometric identity question requiring students to find cos θ using the Pythagorean identity (cos²θ = 1 - sin²θ = 7/9, so cos θ = √7/3), then calculate tan θ = sin θ/cos θ = √2/√7 = √14/7. It's simpler than average as it only requires one standard technique with no problem-solving or conceptual difficulty, though the exact value arithmetic requires care. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=1 |
You are given that $\sin \theta = \frac{\sqrt{2}}{3}$ and that $\theta$ is an acute angle. Find the exact value of $\tan \theta$. [3]
\hfill \mbox{\textit{OCR MEI C2 2010 Q3 [3]}}