(Step-by-Step) The vertical displacement f(t) of a cork bobbing up and down on the ocean's surface may be modelled by the function f(t)=A cos t+B sin t where


Question: The vertical displacement \(f(t)\) of a cork bobbing up and down on the ocean's surface may be modelled by the function

\[f(t)=A \cos t+B \sin t\]

where \(A>0\) and \(B>0\). Use a CAS to find the maximum and minimum values of \(f(t)\) in terms of \(A\) and \(B\).

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