For a given day in the year, the temperature in Tucson at 6:00 AM is 78 degrees Fahrenheit. By 6:00 PM, the temperature rises to 102 degrees, before cooling off again to 78 degrees by 6:00 AM the following morning. The graph below shows the temperature over time (in hours) since 6:00 AM. 102 A 12 18 (a)What is the average temperature for that day? 90 (b)Determine the function which best describes this daily change in temperature. Use t as your input variable. F(t)= -12 cos (2)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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For a given day in the year, the temperature in Tucson at 6:00 AM is 78 degrees Fahrenheit. By 6:00 PM, the temperature rises to 102 degrees, before cooling off again to 78 degrees by 6:00 AM the following morning. The graph below shows the temperature over time (in hours) since 6:00 AM.
A
102
78
0
6
12
18
(a) What is the average temperature for that day? 90
F(t)= -12 cos (21)
24
(b)Determine the function which best describes this daily change in temperature. Use t as your input variable.
Transcribed Image Text:For a given day in the year, the temperature in Tucson at 6:00 AM is 78 degrees Fahrenheit. By 6:00 PM, the temperature rises to 102 degrees, before cooling off again to 78 degrees by 6:00 AM the following morning. The graph below shows the temperature over time (in hours) since 6:00 AM. A 102 78 0 6 12 18 (a) What is the average temperature for that day? 90 F(t)= -12 cos (21) 24 (b)Determine the function which best describes this daily change in temperature. Use t as your input variable.
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