| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 6 |
| 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 double angle formula for cos 2θ, substitution to create a quadratic in sin θ, and solving within a given range. It's slightly above average difficulty due to the algebraic manipulation needed, but follows a well-practiced technique that C4 students routinely encounter. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals |
Solve the equation $2\sin 2\theta + \cos 2\theta = 1$, for $0° \leqslant \theta < 360°$. [6]
\hfill \mbox{\textit{OCR C4 Q5 [6]}}