Trigonometry
posted by CJ on .
Using the same equation from problem 1, what is the average temperature in Atlanta, GA, for the month of June?
equation from #1 is
y = 18.25 sin(pi/6 t  2.09) + 61.15
where t is the time in months and January is t = 1.

Y = 18.25sin(t*pi/6  2.09) + 61.15.
Y = 18.25*sin(6*3.14/6  2.09) + 61.15,
Y = 18.25*sin(3.14  2.09) + 61.15,
Y = 18.25*sin(1.052) + 61.15,
Convert to degrees:
Y = 18.25*sin(1.052*57.3deg/rad) + 61.15,
Y = 18.25*sin(60.28) + 61.15,
Y = 16 + 61.15 = 77.15deg in June.