The position of the sun at sunset, north or south of due west, depends on the latitude and the day of the year. The number of degrees, D, north or south of due west for a specific latitude on a specific day, t, is modelled by the function D(t)= 28sin (360/365 t - 1.4). 1. Graph the function if it is known that the period is 365 (days). 2. What is the maximum angle north of due west? What is the minimum angle south of due west? How can you find these angles without graphing? 3. What is the significance of the number 1.4 in terms of the day of the year (provide month and date)?
The position of the sun at sunset, north or south of due west, depends on the latitude and the day of the year. The number of degrees, D, north or south of due west for a specific latitude on a specific day, t, is modelled by the function D(t)= 28sin (360/365 t - 1.4). 1. Graph the function if it is known that the period is 365 (days). 2. What is the maximum angle north of due west? What is the minimum angle south of due west? How can you find these angles without graphing? 3. What is the significance of the number 1.4 in terms of the day of the year (provide month and date)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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The position of the sun at sunset, north or south of due west, depends on the latitude and the day of the year. The number of degrees, D, north or south of due west for a specific latitude on a specific day, t, is modelled by the function D(t)= 28sin (360/365 t - 1.4).
1. Graph the function if it is known that the period is 365 (days).
2. What is the maximum angle north of due west? What is the minimum angle south of due west? How can you find these angles without graphing?
3. What is the significance of the number 1.4 in terms of the day of the year (provide month and date)?
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