| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2023 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Convert to quadratic in sin/cos |
| Difficulty | Standard +0.8 This question requires multiple trigonometric techniques: using the Pythagorean identity to convert to a single trig function, forming and solving a quadratic equation, then finding all solutions in the given range. While the individual steps are standard A-level content, the multi-step nature and need to correctly handle the identity substitution and quadratic solution makes this moderately harder than average. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
Solve the following equation for values of $\theta$ between $0°$ and $360°$.
$$3\sin^2 \theta - 5\cos^2 \theta = 2\cos \theta$$ [7]
\hfill \mbox{\textit{WJEC Unit 1 2023 Q2 [7]}}