A satellite orbiting the Earth is rotating twice a minute. As the satellite turns, an instrument on the side of the satellite is periodically heated by the sun, then cools as it moves into the shady side of the satellite. The instrument reaches a maximum temperature of 50^oC and a minimum temperature of -10^oC. Supposing that t = 0 corresponds to the time the temperature of the instrument is at its highest, write down a trigonometric function that captures this behaviour. Sketch the temperature of the instrument over one minute (i.e., two revolutions of the satellite). On your graph, be sure to include tick marks and numeric values on your axes that make clear the maximum and minimum temperatures as well as the times at which these maxima and minima occur.