Arctic Circle Daylight On the Arctic Circle, there are 24 hours of daylight on the summer solstice, June 21 (the 173rd day of the year), and 24 hours of darkness on the winter solstice, December 21 (day -10 and day 355). There are 12 hours of daylight and 12 hours of darkness midway between the summer and winter solstices (days 81 and 264).
a. What are the maximum and minimum hours of daylight in the Arctic Circle? Use these values to calculate the amplitude and average value of the hours of daylight cycle.
b. Calculate the period and horizontal shift of the hours of daylight cycle. Use these values to calculate the parameters b and c for a model of the form f (x) = a sin (bx + c) + d.
c. Use the constants from parts a and b to construct a sine model for the hours of daylight in the Arctic Circle.
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