OCR MEI C4 2006 June — Question 1

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2006
SessionJune
TopicHarmonic Form

1 Fig. 1 shows part of the graph of \(y = \sin x - \sqrt { 3 } \cos x\). \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c64062c4-4cbd-41b2-9b4d-60a43dceb700-2_467_629_468_717} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} Express \(\sin x - \sqrt { 3 } \cos x\) in the form \(R \sin ( x - \alpha )\), where \(R > 0\) and \(0 \leqslant \alpha \leqslant \frac { 1 } { 2 } \pi\).
Hence write down the exact coordinates of the turning point P .