solve

idal Functions 571 2. A top secret satellite is launched into orbit from a remote island not on the equator. When the satellite reaches orbit, it follows a sinusoidal pattern that takes it north and south of the equator (i.e. the equator is used as the horizontal axis). Twelve minutes after it is launched it reaches the farthest point north of the equator. The distance north or south of the equator can be represented by the function d(t) = 5000 cos [75 (t - 12)] where d(t) is the distance, in km, of the satellite north of the equator t minutes after being launched. a) How far north or south of the equator is the launch site? Answer to the nearest km. b) Is the satellite north or south of the equator after 20 minutes? What is this distance to the nearest kilometre? c) When, to the nearest tenth of a minute, will the satellite first be 2500 km south of the equator