Applications of trigonometric functions
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The depth, \(D(t)\) metres, of water at the entrance of a habour at \(t\) hours after midnight on a particular day is given by \(D(t) = 8 + 3\sin \left( {\dfrac{{\pi t}}{6}} \right),\,0 \le t \le 24\)
i) Sketch the graph of \(D(t)\) for \(0 \le t \le 24\)
ii) Find the values of \(t\) for which \(D(t) \ge 9.5\)
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