Asked by Cynthia
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 94 degrees occurs at 6 PM and the average temperature for the day is 75 degrees. Find the temperature, to the nearest degree, at 7 AM.
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Answers
Answered by
oobleck
Since we know when the max occurs, use a shifted cosine, since cos(0) is the max
Since the period is 24, cos(kx) has period 2π/k
y = 75 + (94-75)cos(π/12 (x-18))
so find y(7)
Since the period is 24, cos(kx) has period 2π/k
y = 75 + (94-75)cos(π/12 (x-18))
so find y(7)