Determining values a, b, c or d for the cosine and sine functions used to model the temperature data.

Modified Portfolio - The Trigonometry of Temperatures In this portfolio, you will use your knowledge of the period, amplitude, vertical shift, horizontal shift, domain, and range of a trigonometric functions to write the sine and cosine functions that model average monthly temperatures in the given city. If you need help writing the equations of graphs of trigonometric functions in the form y = asin(bt + c) + d and y = acos(bt + c) + d, there are lots of resources to help. For example: Material in the lessons, especially lessons 6, 7 and 10. Examples on unit overview . Examples done in LL Recordings on modeling real world data: Modeling daily temperature, Modeling annual temperature, Length of day (phase shift) . Last but not least - Your teacher - call or come to drop in help!! We will be modeling some real-world data with sinusoidal functions, y = asin(bt +c) +d and y = acos(bt+ c) +d. Below are the average monthly temperatures in Eden Prairie, MN. City Name: Eden Prairie, MN Latitude of the City: 44.8547 N Month January February March April May June July August September (t) 0 2 3 4 5 6 8 Average Temperature 15.5 20.0 32.5 47.0' 59.5 69.0 73.5 71.0 61.5 (y) Month October November December (t) 9 10 11 Average Temperature 48.5 33.5 19.5 (y)