James teacher has asked him to create a mathematical model for the temperatures for a cloudless and windless day in February. He has been told that the lowest temperature was 7 celcius at 3am and the highest temperature was 29 Celcius at 3pm. James decides to use trigonometric model for the temperature.
Determine a trigonometric models the given data from midnight(at the start of the day)to midnight(at the start of the next day) ie. over the 24hr period of the day.

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