The hours of daylight, throughout the year, in a particular town can be graphed using trigonometric functions. On June 21, the longest day of the year, there are 15.3 daylight hours. On Dec. 21, the shortest day of the year, there are 8.7 daylight hours.   a)  Determine the function for the number of daylight hours with respect to the number of days since Jan. 1st. [Hint: Jan. 1st is day 1]   b)  Determine the number of daylight hours the town will have on March 27th and October 2nd.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 81E
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The hours of daylight, throughout the year, in a particular town can be graphed using trigonometric functions. On June 21, the longest day of the year, there are 15.3 daylight hours. On Dec. 21, the shortest day of the year, there are 8.7 daylight hours.

 

a) 

Determine the function for the number of daylight hours with respect to the number of days since Jan. 1st. [Hint: Jan. 1st is day 1]

 

b) 

Determine the number of daylight hours the town will have on March 27th and October 2nd.

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