Based on samples taken from a certain lake, a wildlife conservatlon officer estimates that the fish population averages 1,200 fish but notes that this number fluctuates according to the seasons. She decides to represent the population as 1, 200 + h(t), where h is a function that measures this fluctuation. She measures t in radians, where t = 0 corresponds to the middle of spring, and there
are 2pi radians in a year.