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Watch the videoMerry-Go-Round.(https://players.brightcove.net/1126213333001/default_default/index.html?videoId=5556623829001) Assume the camera is placed 6 feet from the center of the merry-go-round and the diameter of the merry-go-round is 6 feet.

  1. Watch the video"Merry-Go-Round."(https://players.brightcove.net/1126213333001/default_default/index.html?videoId=5556623829001)
  2. Assume the camera is placed 6 feet from the center of the merry-go-round and the diameter of the merry-go-round is 6 feet. Build a trigonometric function that models the distance (feet) of the rider from the camera as a function of time (seconds). Be sure to use function notation to express your function model.
  3. Draw the graph of your trigonometric function. Be sure to show labeled axes on your graph.
  4. Identify the domain of your function. Explain what the domain has to do with the video you watched.
  5. Identify the range of your function. Explain what the range has to do with the video you watched.
  6. What is the period of your function? Explain what the period has to do with the video you watched.
  7. What is the midline of the graph of your function? Explain what the midline has to do with the video you watched.

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