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 the next local 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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