In whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The following data is the recorded millimeters (mm) of precipitation across 14 weeks. Determine a sine and a cosine function that approximates the amount of rainfall over time in weeks. Decimals are allowed. Week 1, rainfall(mm) - 1.4 Week 2, rainfall(mm) - 3.1 Week 3, rainfall(mm) - 4.3 Week 4, rainfall(mm) - 2.9 Week 5, rainfall(mm) - 1.2 Week 6, rainfall(mm) - 0.1 Week 7, rainfall(mm) - 1.3 Week 8, rainfall(mm) - 2.7 Week 9, rainfall(mm) - 4.3 Week 10, rainfall(mm) - 3.2 Week 11, rainfall(mm) - 1.1 Week 12, rainfall(mm) - 0.2 Week 13, rainfall(mm) - 1.2 Week 14, rainfall(mm) - 2.8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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In whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The following data is the recorded millimeters (mm) of precipitation across 14 weeks. Determine a sine and a cosine function that approximates the amount of rainfall over time in weeks. Decimals are allowed. Week 1, rainfall(mm) - 1.4 Week 2, rainfall(mm) - 3.1 Week 3, rainfall(mm) - 4.3 Week 4, rainfall(mm) - 2.9 Week 5, rainfall(mm) - 1.2 Week 6, rainfall(mm) - 0.1 Week 7, rainfall(mm) - 1.3 Week 8, rainfall(mm) - 2.7 Week 9, rainfall(mm) - 4.3 Week 10, rainfall(mm) - 3.2 Week 11, rainfall(mm) - 1.1 Week 12, rainfall(mm) - 0.2 Week 13, rainfall(mm) - 1.2 Week 14, rainfall(mm) - 2.8
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