| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2019 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Product of trig functions |
| Difficulty | Challenging +1.2 This question requires converting to a single trigonometric function using tan θ = sin θ/cos θ, leading to a quadratic in sin θ or cos θ. While it involves multiple steps and careful algebraic manipulation beyond routine single-function equations, it's a standard A-level technique that students are explicitly trained on. The 6-mark allocation and need to find all solutions in the given range adds some complexity, but it remains a recognizable problem type without requiring novel insight. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
Solve the following equation for values of $\theta$ between $0°$ and $360°$.
$$3\tan\theta + 2\cos\theta = 0$$ [6]
\hfill \mbox{\textit{WJEC Unit 1 2019 Q01 [6]}}