7'5 II Sinusoidal Curve Fitting

1
7.5 II Sinusoidal Curve Fitting
Must use A, B, C and a point (x, y).
2
The number of hours of sunlight on the longest
day of summer is 15.283 and the on the shortest
day of winter, December 21 it is 9.067. Find a
sine function that fits the data.
Amplitude
B
Vertical Displacement
3
The point is (355, 9.067), Dec 21 355
4
The number of hours of sunlight on the longest
day of summer is 15.283 and the on the shortest
day of winter, December 21 it is 9.067. Find a
sine function that fits the data.
y 12.175 3.108sin(2p/365 x 7.68)
5
Month Avg Temp
Find a sine function that fits the data.
6
Month Avg Temp
Find a sine function that fits the data.
Amplitude
B
Vertical Displ
7
Let the point be (1, 29.7)
8
Month Avg Temp
Find a sine function that fits the data.
y 51.6 21.9sin(p/6 x 2.094)
9
Homework

• Pg 571 52, 54, 58, 68, 72 b, 74b,