# Trigonometry of Temperatures Worksheet

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EbnfglO

Mathematics

## Description

I've already provided the average temperature of each month. You will need to graph the points then determine the aspects of the sine or cosine function.Then determine what the function would be for sine and cosine.You can view the file to see further instruction of what to do. Part D is optional I can do it but if you want to you can. I only want to spend up to \$10 on this.

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Here you go! Let me know if you need any edits or have any questions. Hello buddy! I have attached the answer in a word document for you. Also, there is an outline.

Last Name 1

Name
Instructor's name
Course
Date
PRECALCULUS B: The Trigonometry of Temperatures
Part A
Step 1
City Name: Toledo
Latitude of the City:41.6528Β° N
Table 1: Average monthly temperatures for Toledo City
Month

1
Jan

Average
33
temperature
(Β°F)

2
Feb

3
Mar

4
Apr

5
May

6
Jun

7
Jul

8
Aug

9
Sep

10
Oct

11
Nov

12
Dec

36

47

60

71

81

85

82

75

63

50

36

Sources: https://www.currentresults.com/Weather/Ohio/Places/toledo-temperatures-bymonth-average.php
Step 2
The plot is shown in the figure below:

Last Name 2

Temperature Plot for Toledo
90
80

Average Temperature, T (Β°F)

70
60
50
40
30
20
10
0
0

5

10

15

20

25

30

35

Time, t (x10^6 s)

Using the graph to determine the following values for both a sine function and a cosine
function:
Table 2: Sine and a cosine function values
Sine

Cosine

Vertical Shift

59

59

Horizontal Shift (x10^6)

-10.21

-18.144

Amplitude

26

26

Period (x10^6)

62.208

62.208

Domain (x10^6)

[2.592,31.104]

[2.592,31.104]

Range

[33,85]

[33,85]

Based on the data in your table, write an equation for a sine function and for a cosine
function.

Last Name 3

Sine Function:
π = π΄ si n(π΅(π‘ + πΆ)) + π·
2π

Where π΄ = π΄πππππ‘π’ππ; π΅ = ππππππ ; πΆ = πβππ π π βπππ‘; π· = ππππ‘ππππ π βπππ‘
Therefore,
π = 26 si...

### Review

Anonymous
Just what I was looking for! Super helpful.

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