Math Portfolio Type II - Applications of Sinusoidal Functions
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Portfolio Type II Applications of Sinusoidal Functions In this project, you will develop and apply sinusoidal functions that model the time of sunrise, the time of sunset, and the number of hours of daylight for Toronto, Ontario. To study the relationship between latitude and the number of hours of daylight, data from Miami Florida, which is located at different latitude from Toronto, will also be used. The location of Toronto and of Miami and data on their sunrise times and sunset times are given in the tables below. Sunrise and Sunset times for 2007 Toronto Location: 44?N 79?W Date Day Rise (hh mm) Set (hh mm) January 1 1 0751 1648 February 1 32 0734 1726 March 1 60 0653 1804 April 1 91 0558 1843 May 1 121 0508 1918 June 1 152 0436 1951 July 1 182 0437 2003 August 1 213 0504 1941 September 1 244 0539 1852 October 1 274 0613 1757 November 1 305 0652 1707 December 1 335 0730 1639 Miami Location: 26?N 80?W Date Day Rise (hh mm) Set (hh mm) January 1 1 0707 1740 February 1 32 0704 1803 March 1 60 0644 1821 April 1 91 0611 1837 May 1 121 0543 1851 June 1 152 0528 1907 July 1 182 0532 1916 August 1 213 0546 1907 September 1 244 0600 1840 October 1 274 0612 1807 November 1 305 0628 1738 December 1 335 0650 1728 Note: Times are written in 24-hour form, eastern standard time -Astronomical Applications Dept., U.S. Naval Observatory, Washington, DC Part A 1. Using a GDC or graphing software and...


