We are given that the minimum temperature occurs 4 hours after the initiation of the experiment. To determine when the maximum temperature occurs, we need to find the period of,

The period of the function,

f (x) = c + asin(b(x - d),

is given by 2π/b. Because b = π/12, the period of T(t) is,

Using the period of T(t) we know that the minimum temperature is reached again 24 hours later, or at 4 + 24 = 28 hours. Thus, halfway in between 4 hours and 28 hours the maximum temperature must occur:

We have concluded that the maximum temperature occurs 16 hours after the initiation of the experiment.

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