| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Double angle equations requiring identity expansion and factorisation |
| Difficulty | Standard +0.3 This is a standard trigonometric equation requiring the Pythagorean identity to convert to a quadratic in cos θ, then solving. The method is routine for C2 level with straightforward algebraic manipulation and finding angles in the given range, making it slightly easier than average but not trivial due to the multiple-step process and need to find all solutions in 360°. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
Showing your method, solve the equation $2\sin^2\theta = \cos\theta + 2$ for values of $\theta$ between $0°$ and $360°$. [5]
\hfill \mbox{\textit{OCR MEI C2 2008 Q10 [5]}}