Math/Trig
posted by CJ on .
The following is a table for the maximum temperature per month, for Boulder, CO
Month° F
Jan:45.1
Feb:48.2
Mar:53.8
Apr:62.8
June:71.6
July:81.5
Aug:85.1
Sept:76.6
Oct:66.7
Nov:52.9
Dec45.5
Find the sinusoidal function that models this data.
How do I do this ?

you might want to look at the equation you yourself posted in
http://www.jiskha.com/display.cgi?id=1295020805
and see where the numbers in that equation come from and how they affect the answer.
e.g.
the period would certainly be the same, one year
Look at your data above and determine the difference between the highest and the lowest, that would be twice the amplitude in front of the sine curve.
looks like the hightest temp is in Aug at 85.1 and the lowest in Jan at 45.1
wouldn't the median be 65.1 ?
let me know what you come up with? 
Is the answer y = 21.15sin(pi/6 t + 3)+66.25?