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 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 period of the function? (Period is found by 360/k) 4. What is the significance of the number 1.4 in terms of the day of the year?
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 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 period of the function? (Period is found by 360/k) 4. What is the significance of the number 1.4 in terms of the day of the year?
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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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
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 period of the function? (Period is found by 360/k)
4. What is the significance of the number 1.4 in terms of the day of the year?
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