| Exam Board | Edexcel |
|---|---|
| Module | AEA (Advanced Extension Award) |
| Year | 2011 |
| Session | June |
| Paper | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Transformed argument solving |
| Difficulty | Standard +0.3 This is a straightforward trigonometric equation requiring the identity cot(x) = tan(90° - x), leading to a simple linear equation in θ. Despite being from AEA, it's a routine 4-mark question with minimal steps and no novel insight required—slightly easier than average. |
| Spec | 1.05i Inverse trig functions: arcsin, arccos, arctan domains and graphs1.05o Trigonometric equations: solve in given intervals |
Solve for $0 \leq \theta \leq 180°$
$$\tan(\theta + 35°) = \cot(\theta - 53°)$$
[Total 4 marks]
\hfill \mbox{\textit{Edexcel AEA 2011 Q1}}