A Space Shuttle is fired into orbit from Houston, Texas. The “ground tracks” of the shuttle’s distance from the Equator measured in miles, vary periodically with time measured in minutes. 12 minutes after launch, the shuttle reaches its furthest point north 3500 miles from the equator. Half a cycle later it reaches the furthest point south 3500 miles from the Equator. Assume the Equator is the midline (C=0), and its completes an orbit (cycle) every 120 minutes. a) Write the particular equation of the shuttle’s distance from the equator as a periodic function of time. Show how you calculate each coefficient in your model.