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?
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?
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.)
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.)
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?
