Student’s Name: Professor’s Name: Course: Date: Trigonometry Part a: sinusoidal function for number of daylight hours Amplitude is equal to: (15.3 hours days after the longest day of the year therefore: f (97) = 3.3 cos (2π / 365*97) + 12 = 11.6 Hours [...]
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. Answer in Radians and show ALL work.