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): Day January 23 March 31 We wish to fit a trigonometric function of the form 2п f(t) May 10 July 3 = t). t + c cos to these data. Find the best approximation of this form, using least squares. f(t) = a + b sin t 23 90 130 184 365 S(t) 10 12 13 14 2π 365 t

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