Let S(t) be the number of daylight hours on the tth day of the year in Los Angleles. We are given the following data for S(t): S(t) Day January 17 17 10 March 4 63 12 131 13 207 14 We wish to fit a trigonometric function of the form to these data. Find the best approximation of this form, using least squares. f(t) = May 11 July 26 f(t) = a + b sin 2π 365 t t + c cos 2π 365

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Let S(t) be the number of daylight hours on the tth day of the year in Los Angleles. We are given the following data for S(t):
S(t)
Day
January 17
17
10
March 4
63 12
131 13
207 14
We wish to fit a trigonometric function of the form
to these data. Find the best approximation of this form, using least squares.
f(t) =
May 11
July 26
f(t) = a + b sin
2π
365
t
t
+ c cos
2π
365
Transcribed Image Text:Let S(t) be the number of daylight hours on the tth day of the year in Los Angleles. We are given the following data for S(t): S(t) Day January 17 17 10 March 4 63 12 131 13 207 14 We wish to fit a trigonometric function of the form to these data. Find the best approximation of this form, using least squares. f(t) = May 11 July 26 f(t) = a + b sin 2π 365 t t + c cos 2π 365
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