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Mathematics, 04.08.2020 23:01 pr4ever

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. What is the temperature at 5 p. m? Round your answer, if necessary, to two decimal places.

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