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I trying to loosely express temperature during the day as a function of time. Essentially what I want is to be able to take the average high and low temperature for say May 15th, and use those 2 data points to extrapolate a function that gives the temperature as a function of the minute.

Looking at daily temperature graphs, it appears to loosely follow the form of a sign wave. So lets say I knew my high temperature was 10 degrees and my low was -10 degrees. How accurate would it be to say.

Temp(t)= -10Cos(pi*t/720) where t is the number of minutes after the the coldest time of the night.

Is this in any way an accurate representation. Is there a better way to do this with only a little bit of climate data?

Thanks.

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# Daily Temperature as a function of time

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