Daylight function for 40° N Verify that the functionhas the following properties, where t...

Daylight function for 40° N Verify that the function

has the following properties, where t is measured in days and D is the number of hours between sunrise and sunset.

a. It has a period of 365 days.

b. Its maximum and minimum values are 14.8 and 9.2, respectively, which occur approximately at t = 172 and t = 355, respectively (corresponding to the solstices).

D(81) = 12 and D(264) ≈ 12 (corresponding to the equinoxes).