| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/2 (Pre-U Mathematics Paper 2) |
| Year | 2013 |
| Session | November |
| Topic | Standard trigonometric equations |
| Type | Transformed argument solving |
| Difficulty | Moderate -0.8 This is a straightforward transformed argument trigonometric equation requiring only routine application of inverse sine and algebraic manipulation to isolate θ. The question involves standard techniques (finding reference angle, considering multiple solutions in the extended range, then dividing by 2 and subtracting 30°) with no conceptual challenges beyond basic A-level trigonometry. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
5 Solve $\sin \left( 2 \theta + 30 ^ { \circ } \right) = 0.1$ in the range $0 ^ { \circ } \leqslant \theta \leqslant 180 ^ { \circ }$.
\hfill \mbox{\textit{Pre-U Pre-U 9794/2 2013 Q5}}