| Exam Board | AQA |
|---|
| Module | Paper 2 (Paper 2) |
|---|
| Year | 2019 |
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| Session | June |
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| Topic | Harmonic Form |
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6 A curve has equation
$$y = a \sin x + b \cos x$$
where \(a\) and \(b\) are constants.
The maximum value of \(y\) is 4 and the curve passes through the point \(\left( \frac { \pi } { 3 } , 2 \sqrt { 3 } \right)\) as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{838f0625-95e6-4ad4-b97b-3d3f77cc7f19-06_746_696_719_671}
Find the exact values of \(a\) and \(b\).