| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Session | Specimen |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Quadratic trigonometric equations |
| Type | Direct solve: sin²/cos² substitution |
| Difficulty | Standard +0.3 This is a standard C2 trigonometric equation requiring the identity sin²x = 1 - cos²x to convert to a quadratic in cos x, then solving the quadratic and finding angles. It's slightly above average difficulty due to the multi-step process and need to handle two solutions from the quadratic, but it's a textbook exercise with no novel insight required. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
4. Solve, for $0 \leq x < 360 ^ { \circ }$, the equation $3 \sin ^ { 2 } x = 1 + \cos x$, giving your answers to the nearest degree.\\
\hfill \mbox{\textit{Edexcel C2 Q4 [7]}}