## Exam-Style Question on Circular Functions## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 76. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is allowed.

Consider the graph of \(f(x)=a\sin(b(x+c))+12\), for \(0\le x\le 24\).

The graph has a maximum at (8, 22) and a minimum at (18, 2).

(a) Find the value of \(a\).

(b) Find the value of \(b\).

(c) Find the value of \(c\).

(d) Solve \(f(x)=5\).

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