| Exam Board | Edexcel |
|---|---|
| Module | AEA (Advanced Extension Award) |
| Year | 2002 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Factorization method |
| Difficulty | Challenging +1.8 This AEA question requires rearranging a trigonometric equation, applying factor formulas (sum-to-product identities), and systematically solving multiple cases within a restricted domain. While the techniques are A-level standard, the multi-step algebraic manipulation, handling of multiple solutions, and careful domain checking elevate it significantly above routine trigonometry questions. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals |
Solve the following equation, for $0 \leq x \leq \pi$, giving your answers in terms of $\pi$.
$$\sin 5x - \cos 5x = \cos x - \sin x.$$
[8]
\hfill \mbox{\textit{Edexcel AEA 2002 Q1 [8]}}