| Exam Board | Edexcel |
|---|---|
| Module | AEA (Advanced Extension Award) |
| Year | 2002 |
| Session | Specimen |
| Marks | 12 |
| Paper | Download PDF ↗ |
| Topic | Addition & Double Angle Formulae |
| Type | Solve equation with sin2x/cos2x by substitution |
| Difficulty | Challenging +1.8 This AEA question requires multiple trigonometric identities (double and triple angle formulae), algebraic manipulation to rearrange terms, and solving a non-standard equation. The presence of sin 2θ, cos θ, and cos 3θ together demands strategic use of identities and careful algebraic work, going well beyond routine A-level exercises but not requiring deep geometric insight. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals |
3.Solve for values of $\theta$ ,in degrees,in the range $0 \leq \theta \leq 360$ ,
$$\sqrt { } 2 \times ( \sin 2 \theta + \cos \theta ) + \cos 3 \theta = \sin 2 \theta + \cos \theta$$
\hfill \mbox{\textit{Edexcel AEA 2002 Q3 [12]}}