In this exploration, you have the chance to apply trigonometric functions and their graphs by building a function that models a real periodic situation. Watch this Merry Go Round Video to understand the situation.https://players.brightcove.net/1126213333001/default_default/index.html?videoId=55566238290011. 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.2.Draw the graph of your trigonometric function. Be sure to show labeled axes on your graph.Take a picture of your graph, save it to your computer, and click the Insert Media icon (the little photograph) on the toolbar to copy it into the essay box.3. Identify the domain of your function.4. What is the period of your function?5. Explain what the domain and range has to do with the video you watched.Where does the period of the function show up in the video?6. What is the midline of the graph of your function? Where does the midline of the function show up in the video?
