Question
The average monthly temperature changes from month to month. Suppose that, for a given city, we can model the average temperature in a month with the following function.
f(t)= 59 - 26 sin (pi/6 t)
In this equation, f(t) is the average temperature in a month in degrees Fahrenheit, and t is the month of the year (January=1, February=2, ...).
Find the following. If necessary, round to the nearest hundredth.
Number of cycles of f per month :
f(t)= 59 - 26 sin (pi/6 t)
In this equation, f(t) is the average temperature in a month in degrees Fahrenheit, and t is the month of the year (January=1, February=2, ...).
Find the following. If necessary, round to the nearest hundredth.
Number of cycles of f per month :
Answers
period T is when (pi/6) t = 2 pi
t = 12 months = period T = 1 year period
f = frequency = 1/T = 1/12 cycle/month (logically enough)
I do not believe it is the mean in Jan and June though. You need a phase angle in there.
t = 12 months = period T = 1 year period
f = frequency = 1/T = 1/12 cycle/month (logically enough)
I do not believe it is the mean in Jan and June though. You need a phase angle in there.
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