| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2024 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Simple double angle equations (direct substitution) |
| Difficulty | Moderate -0.8 This is a straightforward trigonometric equation requiring only basic manipulation (divide by 2 to get sin 2θ = 0.5, find 2θ = 30° and 150°, then halve to get θ) and recall of special angle values. The restricted range and double angle make it slightly less trivial than the most basic trig equations, but it remains a routine exercise with no problem-solving required. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals |
Find all values of $\theta$ in the range $0° < \theta < 180°$ that satisfy the equation
$$2\sin 2\theta = 1.$$ [3]
\hfill \mbox{\textit{WJEC Unit 1 2024 Q2 [3]}}