2024 IGCSE Additional Mathematics October/November 0606/11 Q3

4 marks

The diagram shows part of the graph of \(\mathrm{f}(x)=a\cos bx+c\), where \(a\), \(b\) and \(c\) are constants. Given that \(\mathrm{f}(x)\) has a period of \(960^\circ\), find the values of \(a\), \(b\) and \(c\).[4]

Solution:

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Answer:\(a=4,\ b=\dfrac38,\ c=2\). Equivalently, \(b=-\dfrac38\) gives the same graph.

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