Finding the equation from graph features

Finding the equation from graph features

Secondary 4
TGM Original Questions

A curve has equation \(y=a\sin bx+c\), where \(a\) and \(b\) are positive integers. The curve has a maximum value of \(6\), a minimum value of \(-2\) and a period of \(120^\circ\). Find the value of \(a\), of \(b\) and of \(c\).

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Answer:\(a=4\), \(b=3\), \(c=2\).

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