Degrees, radians, rotations
Note: Problems 1.9–1.11 refer to angle ABC in the diagram below. The angle’s initial side and terminal side both lie on the positive x-axis.
1.9 Express the measure of angle ABC in revolutions.
According to the arrowed arc at the center of this diagram, angle ABC begins at the positive x-axis, rotates exactly once around the coordinate plane, and terminates where it began, at the positive x-axis. To visualize this angle, stand up and point at a specific spot on the wall. Then, while standing in the same location, slowly turn in the counterclockwise direction, keeping your arm straight in front ...