| Exam Board | OCR MEI |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2011 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Addition & Double Angle Formulae |
| Type | Prove identity with double/compound angles |
| Difficulty | Moderate -0.8 This is a straightforward identity proof requiring direct application of standard double angle formulae (sin 2θ = 2sin θ cos θ, cos 2θ = 2cos²θ - 1) followed by algebraic simplification. It's a routine textbook exercise with a well-known result that requires no problem-solving insight, 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 formulae1.05p Proof involving trig: functions and identities |
5 Show that $\frac { \sin 2 \theta } { 1 + \cos 2 \theta } = \tan \theta$.
\hfill \mbox{\textit{OCR MEI C4 2011 Q5 [3]}}