| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Quadratic trigonometric equations |
| Type | Direct solve: sin²/cos² substitution |
| Difficulty | Moderate -0.3 This is a standard C2 trigonometric equation requiring the identity sin²θ = 1 - cos²θ to convert to a quadratic in cos θ, then solving the quadratic and finding angles. It's slightly easier than average because it's a routine textbook exercise with a well-known technique, though it does require multiple steps (substitution, quadratic formula, inverse trig for multiple solutions). |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
4. Solve the equation
$$\sin ^ { 2 } \theta = 4 \cos \theta$$
for values of $\theta$ in the interval $0 \leq \theta \leq 360 ^ { \circ }$. Give your answers to 1 decimal place.\\
\hfill \mbox{\textit{OCR C2 Q4 [7]}}