9) Outside temperature over the course of a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 105 degrees occurs at 5 PM and the average temperature for the day is 85 degrees. a) Write a sine or cosine function that models the temperature T as a function of the number of hours after midnight (12 AM). b) For how many hours of the day is the temperature cooler than 90 degrees?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 9E
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9) Outside temperature over the course of a day can be modeled as a sinusoidal function.
Suppose you know the high temperature of 105 degrees occurs at 5 PM and the average
temperature for the day is 85 degrees.
a) Write a sine or cosine function that models the temperature T as a function of the number of
hours after midnight (12 AM).
b) For how many hours of the day is the temperature cooler than 90 degrees?
Transcribed Image Text:9) Outside temperature over the course of a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 105 degrees occurs at 5 PM and the average temperature for the day is 85 degrees. a) Write a sine or cosine function that models the temperature T as a function of the number of hours after midnight (12 AM). b) For how many hours of the day is the temperature cooler than 90 degrees?
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