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  1. Suppose that you did not have the Unit Circle on Circle A, but rather a circle of radius $5$. Will the angle measures in degrees and/or radians change? Why or why not?

  2. Suppose that you did not have the Unit Circle on Circle A, but rather a circle of radius $5$. What do you suppose the $x$- and $y$-coordinates will be for that circle in Quadrant I?

  3. Consider the two points in Quadrant I on Circle B. What is the special relationship between them? (Consider the relationship between the angles whose terminal sides pass through these points.)

  4. Consider the point in Quadrant I that corresponds to the angle $60° =$ . Examine relationship between the angle measures for those in Quadrants II, III, and IV, where the angle is reflected across the y-axis, x-axis, and the origin. What do you notice about the relationship? (Note: Look at the relationship of the angle measures in degrees and radians, and the $x$- and $y$- coordinates.)

  5. Consider the point in Quadrant I that corresponds to the angle $30° =$ . Examine relationship between the angle measures for those in Quadrants II, III, and IV, where the angle is reflected across the $y$-axis, $x$-axis, and the origin. What do you notice about the relationship?

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  • $\begingroup$ What do you think? $\endgroup$ – Chantry Cargill Sep 22 '14 at 3:15
  • $\begingroup$ So, you want us to do your homework? $\endgroup$ – CIJ Sep 22 '14 at 3:16
  • $\begingroup$ @Carlos i would like the help because i have no idea how to do this. $\endgroup$ – nicole Sep 22 '14 at 3:20
  • $\begingroup$ @nicole What do you think about question 1? $\endgroup$ – Chantry Cargill Sep 22 '14 at 3:28
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    $\begingroup$ No, the angle measures in degrees and radians will not change regardless of the value of the radius, because a revolution of a circle will always be 360˚ or 2π. @ChantryCargill $\endgroup$ – nicole Sep 22 '14 at 3:29

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