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The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the end of the blade that is pointing directly to the right of the center. Here are graphs showing the horizontal and vertical distances of point P relative to the center of the windmill as the blades rotate counterclockwise. YA y cos(@) 27 3x 4x 5m YA y= sin(@) 12x 3 5x -1 1. How many full rotations are shown by the graphs? Explain how you know. 2. What do the values of the graphs at 0 3. List some different angles of rotation that bring P to the highest point in its circle of rotation. = 37 mean in this context? What do you notice about these angles? 4. How many angles show point P at a height of 0.71 meters? Explain or show your reasoning.

The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the end of the blade that is pointing directly to the right of the center. Here are graphs showing the horizontal and vertical distances of point P relative to the center of the windmill as the blades rotate counterclockwise. YA y cos(@) 27 3x 4x 5m YA y= sin(@) 12x 3 5x -1 1. How many full rotations are shown by the graphs? Explain how you know. 2. What do the values of the graphs at 0 3. List some different angles of rotation that bring P to the highest point in its circle of rotation. = 37 mean in this context? What do you notice about these angles? 4. How many angles show point P at a height of 0.71 meters? Explain or show your reasoning.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 8CLT
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The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the end of the blade that is pointing directly to the right of the center. Here are graphs showing the horizontal and vertical distances of point P relative to the center of the windmill as the blades rotate counterclockwise. YA y= cos(0) 2 4 YA y= sin(@) 3 专 S -1 1. How many full rotations are shown by the graphs? Explain how you know. 2. What do the values of the graphs at 8 = 37 mean in this context? 3. List some different angles of rotation that bring P to the highest point in its circle of rotation. What do you notice about these angles? 4. How many angles show point P at a height of 0.71 meters? Explain or show your reasoning. %3D
Transcribed Image Text:The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the end of the blade that is pointing directly to the right of the center. Here are graphs showing the horizontal and vertical distances of point P relative to the center of the windmill as the blades rotate counterclockwise. YA y= cos(0) 2 4 YA y= sin(@) 3 专 S -1 1. How many full rotations are shown by the graphs? Explain how you know. 2. What do the values of the graphs at 8 = 37 mean in this context? 3. List some different angles of rotation that bring P to the highest point in its circle of rotation. What do you notice about these angles? 4. How many angles show point P at a height of 0.71 meters? Explain or show your reasoning. %3D
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