The table shows the average maximum temperature in Yellowstone National Park throughout the year. A graph of this data is given in the figure, where we have used m to represent the month and T the average maximum temperature. Find the equation of a trigonometric function to use as a model for these data. Assume m=1 corresponds to January.

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Question

The table shows the average maximum temperature in Yellowstone National Park throughout the year. A graph of this data is given in the figure, where we have used m  to represent the month and T the average maximum temperature. Find the equation of a trigonometric function to use as a model for these data. Assume m=1 corresponds to January.

 
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