| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Convert to quadratic in tan |
| Difficulty | Standard +0.3 This is a standard trigonometric equation requiring the identity sec²θ = 1 + tan²θ to convert to a quadratic in tan θ, then solving and finding angles in the given range. It's slightly above average difficulty due to the identity manipulation and needing to find all solutions in 360°, but follows a well-practiced technique for C3 students. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05k Further identities: sec^2=1+tan^2 and cosec^2=1+cot^21.05o Trigonometric equations: solve in given intervals |
Solve, for $0° < \theta < 360°$, the equation $\sec^2 \theta = 4 \tan \theta - 2$. [5]
\hfill \mbox{\textit{OCR C3 Q2 [5]}}