Plot the 12 values on a graph. The number corresponding to the month is the first coordinate of each point, and average temperature for that month is the second coordinate. The points should create a periodic pattern. Assume that the data is, in fact, periodic and use the graph to determine the following values for both a sine function and a cosine function:
Plot the 12 values on a graph. The number corresponding to the month is the first coordinate of each point, and average temperature for that month is the second coordinate. The points should create a periodic pattern. Assume that the data is, in fact, periodic and use the graph to determine the following values for both a sine function and a cosine function:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Plot the 12 values on a graph. The number corresponding to the month is the first coordinate of each point, and average temperature for that month is the second coordinate. The points should create a periodic pattern. Assume that the data is, in fact, periodic and use the graph to determine the following values for both a sine function and a cosine function:
Transcribed Image Text:Plot the 12 values on a graph. The number corresponding to the month is the first
coordinate of each point, and average temperature for that month is the second
coordinate. The points should create a periodic pattern. Assume that the data is, in
fact, periodic and use the graph to determine the following values for both a sine
function and a cosine function:
Sine
Cosine
Vertical Shift
Horizontal Shift
Amplitude
Period
Domain
Range
Based on the data in your table, write an equation for a sine function and for a
cosine function.
Sine Function
Cosine Function
Transcribed Image Text:Month
1
4
5
6
May
65 / 48
Jan
Feb
Mar
Apr
58 / 43
Jun
47 / 35
51 / 35
|52/ 39
69 / 53
Average
Temperature
Month
8
9
10
11
12
Jul
75/ 57
Aug
75/ 57
Sep
|69 / 53
Oct
Nov
Dec
59 / 46
49 / 40
44 / 36
Average
Temperature
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