Question

The maximum angle of the sun above the horizon for a small town in Ontario was recorded on the 21st of each month and is displayed in the table below. Create an equation to model the data.
Month
1
2
3
4
5
6
7
8
9
10
11
12
Angle
25
35
45
56
65
68
65
56
45
35
25
22

Answer 1

max-min = 40
average = (max+min)/2 = 45
so it looks kind of like
y = 45 - 20cos(2pi/12 x)