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°C, and it is reached around 2 p. m. The lowest temperature is
about -54°C 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.
T(t)
What is the temperature at 5 p. m.? Round your answer, if necessary, to two decimal places.
С