MODELLING WITH TRIGONOMETRIC FUNCTIONS

Use the data below (http://www.worldclimate.com) to find trigonometric functions designed to predict the minimum and maximum temperatures on any day during the year in each city. Comment on the effectiveness of the trigonometric model.
 

BRISBANE REGIONAL OFFICE ROOF
Located at about 27.48°S 153.03°E. Height about 38m above sea level.

Average Minimum Temperature (°C)

Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
20.7 
20.5 
19.3 
16.6 
13.3 
10.8 
9.5 
10.3 
12.8 
15.7 
18.1 
19.8 

Average Maximum Temperature (°C)

Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
29.3 
28.9 
27.9 
26.1 
23.2 
20.8 
20.3 
21.8 
24.0 
26.0 
27.7
29.1 

Source: derived from GHCN 2 Beta (1191 months between 1887 and 1986).
 
 

ADELAIDE REGIONAL OFFICE
Located at about 34.92°S 138.62°E. Height about 47m above sea level.

Average Minimum Temperature (°C)

Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
16.6 
16.7 
15.4 
12.3 
10.2 
7.9 
7.2 
8.1 
9.3 
11.3 
13.7 
15.4 

Source: derived from GHCN 2 Beta. 190 months between 1977 and 1992

Average Maximum Temperature (°C)

Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
28.6 
29.1 
26.3 
22.4 
18.8 
15.9 
15.0 
16.3 
18.5 
21.8 
24.7 
27.0 

Source: derived from GHCN 2 Beta (190 months between 1977 and 1992).
 
 

NEW YORK CENTRAL PARK
Located at about 40.78°N 73.97°W. Height about 39m above sea level.

Average Minimum Temperature (°C)

Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
-3.6 
-3.5 
0.4 
6.0 
11.8 
16.9 
20.0 
19.2 
15.5 
9.7 
4.3 
-1.3 

Average Maximum Temperature (°C)

Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
3.3 
3.9 
8.6 
15.0 
21.4 
26.3 
29.0 
27.9 
24.2 
18.1 
11.3 
5.2 

Source: derived from GHCN 2 Beta (1440 months between 1876 and 1996).