| Exam Board | WJEC |
|---|---|
| Module | Further Unit 4 (Further Unit 4) |
| Year | 2024 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | General solution — find all solutions |
| Difficulty | Challenging +1.8 This is a Further Maths trigonometric equation requiring multiple identities (double/triple angle formulas, sin 6θ expansion) and systematic algebraic manipulation to reduce to a solvable form. While the techniques are standard for Further Maths students, the multi-step nature, need to recognize which identities to apply, and careful algebraic handling across 9 marks places this well above average difficulty but not at the extreme end of Further Maths questions. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals |
Find the general solution of the equation
$$\sin 6\theta + 2\cos^2\theta = 3\cos 2\theta - \sin 2\theta + 1.$$ [9]
\hfill \mbox{\textit{WJEC Further Unit 4 2024 Q9 [9]}}