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Mathematics, 06.09.2021 19:50 laniyasontee

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 C and it is reached around 2 p. m. The lowest temperature is about -54 degrees 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.

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