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The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018.  x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t.  Why are we using Cosine instead of Sine and use the data and the graph to estimate the value of A, the amplitude of the graph.

The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018.  x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t.  Why are we using Cosine instead of Sine and use the data and the graph to estimate the value of A, the amplitude of the graph.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018.  x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t. 

Why are we using Cosine instead of Sine and use the data and the graph to estimate the value of A, the amplitude of the graph.

9.617 15:5 9.75 10 15 20 9.833 30 10.283 14:5 40 10.617 14 50 10.983 13:5 60 11.367 13 70 11.733 12:5 80 12.133 12 90 12.533 100 12.933 11:5 110 13.326 11- 120 13.683 10:5 130 14 10 140 14.3 -9:5 150 14.517 160 14.65 9 graph on desmos 400 170 14.75 100 -200- 300 8.5 180 14.717 190 14.617 200 14.433 210 14.183 220 13.867 230 13.533 240 13.167 250 12.783 260 12.383 270 11.983 280 11.583 290 11.2 300 10.817 310 10.466 320 10.15 330 9.883 340 9.683 350 9.583 360 9.567
Transcribed Image Text:9.617 15:5 9.75 10 15 20 9.833 30 10.283 14:5 40 10.617 14 50 10.983 13:5 60 11.367 13 70 11.733 12:5 80 12.133 12 90 12.533 100 12.933 11:5 110 13.326 11- 120 13.683 10:5 130 14 10 140 14.3 -9:5 150 14.517 160 14.65 9 graph on desmos 400 170 14.75 100 -200- 300 8.5 180 14.717 190 14.617 200 14.433 210 14.183 220 13.867 230 13.533 240 13.167 250 12.783 260 12.383 270 11.983 280 11.583 290 11.2 300 10.817 310 10.466 320 10.15 330 9.883 340 9.683 350 9.583 360 9.567
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