Kaitlyn is on a carousel. At time t = 0 seconds, Kaitlyn is at a maximum distance from a fence, which is 8 meters away. At time t = 6 seconds, Kaitlyn is located at a minimum distance from the fence, which is 2 meters away. The carousel turns at a constant rate. Part A:
Write a trigonometric function d(t) that models the distance, in meters, that Kaitlyn is from the fence, in terms of the time, t, in seconds.

Part B:
Explain how you determined your answer.