| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Proofs |
| Type | Prove trigonometric identity |
| Difficulty | Moderate -0.8 This is a straightforward trigonometric identity proof requiring only standard double angle formulas (sin 2θ = 2sinθcosθ, cos 2θ = 2cos²θ - 1) and basic algebraic manipulation. It's a routine 3-mark question testing recall and application of standard identities with no problem-solving insight required, making it easier than average. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05l Double angle formulae: and compound angle formulae |
Show that $\frac{\sin 2\theta}{1 + \cos 2\theta} = \tan\theta$. [3]
\hfill \mbox{\textit{OCR C4 Q3 [3]}}