| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2017 |
| Session | June |
| Marks | 4 |
| Topic | Standard trigonometric equations |
| Type | Double angle equations requiring identity expansion and factorisation |
| Difficulty | Moderate -0.3 This is a straightforward double angle equation requiring the standard identity sin 2x = 2sin x cos x, followed by factorisation and solving basic trigonometric equations. While it requires multiple steps, the techniques are routine and commonly practiced, making it slightly easier than average for A-level. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals |
Use of the identity $\sin 2x = 2\sin x\cos x$ **B1**
Obtain $\sin x = \dfrac{\sqrt{3}}{2}$ **B1**
Obtain $60°$ and $120°$ **B1**
Obtain $90°$ and $270°$ **B1**
**Total: 4 marks**4 Solve the equation $\sin 2 x = \sqrt { 3 } \cos x$ for $0 ^ { \circ } < x < 360 ^ { \circ }$.
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2017 Q4 [4]}}