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.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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