Can you help me solve this problem:
The number of hours of daylight varies throughout the course of a year (daylight is defined as the time between sunrise and sunset). It has been suggested to approximate the length of daylight in Maths city by the function:
() = 2.5cos ((2/ 365) (( −(1000 + 24 + 15 + 42/ 4)) + 12
0 ≤ ≤ 365,
where () is the number of daylight hours, is time measured in days ( = 0 at January 1, 2022), and radian angle measure is used.
(a) What is the lengths of daylight when = 0 and = 213?
(b) What is the shortest length of daylight? What is the value of then?