in the month of march, the temperature at the south pole varies over the day in a periodic way that can be modeled approximately by a trigonometric function. the highest temperature is about -50 degrees Celsius, and its reached around 2 p.m. the lowest temperature -54 degrees Celsius and it is reached half a day apart from the highest temperature, at 2 a.m. Find the formula of the trigonometric function that models the temperature T in the South Pole in March t hours after midnight. Define the function using radians.