1. Using complete sentences, define and compare radian measure to degree measure. In doing so, be sure to answer each of the following questions:
â€¢ When would degree measure be appropriate?
â€¢ When would radians be a better choice?
â€¢ What are the pros and cons of each?
2. Adam and Beth are visiting an amusement park and have decided to ride the carousel. Adam picked a horse on the outside edge and Beth chose a dragon on the inside, closer to the center.
Part 1: Do Adam and Beth travel the same distance during the ride? Choose a distance that each seat (horse and dragon) sits from the center and use the radius to determine how far each would travel during one rotation.
Part 2: Choose an angle of rotation. Using complete sentences, compare the distance Adam and Beth will travel during this angle measurement.
Part 3: Using complete sentences, describe which position you would prefer and why.
3. Robbie the Robot is on a weather satellite orbiting Earth about 3600 km above the surface. The Earthâ€s radius is about 6400 km. He has had a malfunction in his output device, and the satellite is traveling without communication. His last report was only in terms of trigonometric values and was only partially received. It said, sin Î˜ < 0â€¦.. and then he was lost again.
Part 1: Create a set of coordinates that would be reasonable for Robbieâ€s position in space and satisfy his last, partial report. Using complete sentences, describe Robbieâ€s location and your reasoning.
Part 2: What are the values of the sin Î˜, cos Î˜, and tan Î˜ using your coordinate point?
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