The given function is
[tex]f(t) = 33 sin( \frac{ \pi }{2} t) - 20[/tex]
with
t = time, hours
f = temperature,Ā Ā°C
BecauseĀ the maximum and minimum values for the Sine function are +1 and -1 respectively,
The maximum value of f Ā = 33 - 20 = 13.
The minimum value of f = -33 - 20 = -53.Ā
The period, T, Ā is given by
[tex] \frac{2 \pi }{T} = \frac{ \pi }{2} \\ \\ T=4[/tex]
Answer:
Maximum: 13Ā°; Ā Minimum: -53Ā°; Ā period: 4 hours
