Question
Situation: Assume that you are exercising on a completely circular track you have a 15 foot radius and want to model your workout behavior. His
Situation: Assume that you are exercising on a completely circular track you have a 15 foot radius and want to model your workout behavior. His training consists of giving 1.25 laps of the circular track. Assume that you start your workout at the far right of the circular track (standard position)
- make a graphic representation of the circular track where you are exercising and indicate the equation of the circle representing the track.
-Find the angle associated with the number of turns you make in your training, both in degrees and radians
-Assuming you started running in the standard position, indicate the coordinates of the point on the circular track associated with your position initial and final position after training. Also, identify both points on the graph.
-state and graph the function relevant trigonometric model that models the behavior of its associated position to the Y axis through your training. Also, restrict and specify the domain of the trigonometric function and indicate the range of the trigonometric function.
-Explain in a paragraph or two your reasoning for identify / calculate the following: a) Establish the equation of the circle of the circular track. b) Calculate the angle associated with the number of turns you make in your training. c) Indicate the coordinates of the point on the circular track associated with its starting position and to your final position after training. d) Establish the relevant function that models the behavior of its position associated with the Y axis through your training, mastery and the range of the function.
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