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\includegraphics[max width=\textwidth, alt={}, center]{3b527397-7781-41e9-8218-57277cc977bf-2_561_1210_895_465}
The diagram shows the graph of \(y = a \sin ( b x ) + c\) for \(0 \leqslant x \leqslant 2 \pi\).
- Find the values of \(a , b\) and \(c\).
- Find the smallest value of \(x\) in the interval \(0 \leqslant x \leqslant 2 \pi\) for which \(y = 0\).