| Exam Board | CAIE |
|---|---|
| Module | P1 (Pure Mathematics 1) |
| Year | 2009 |
| Session | November |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Transformed argument solving |
| Difficulty | Moderate -0.8 This is a straightforward transformed argument trigonometric equation requiring only basic algebraic manipulation (divide by 3, take arctan) and consideration of the periodic nature of tan within the transformed domain. The transformation is simple (linear) and the question is a standard textbook exercise with no conceptual challenges beyond routine application of inverse trig and period adjustment. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
1 Solve the equation $3 \tan \left( 2 x + 15 ^ { \circ } \right) = 4$ for $0 ^ { \circ } \leqslant x \leqslant 180 ^ { \circ }$.
\hfill \mbox{\textit{CAIE P1 2009 Q1 [4]}}