1. Measuring Angles

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

16𝜋3

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

14𝜋3

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

120°

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

-210°

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

420°

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle.-760°

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle.25𝜋6

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle.-𝜋40

Use the circle shown in the rectangular coordinate system to solve Exercises 81–86. Find two angles, in radians, between -2𝜋 and 2𝜋 such that each angle's terminal side passes through the origin and the given point.

D

Use the circle shown in the rectangular coordinate system to solve Exercises 81–86. Find two angles, in radians, between -2𝜋 and 2𝜋 such that each angle's terminal side passes through the origin and the given point.

F

Use the circle shown in the rectangular coordinate system to solve Exercises 81–86. Find two angles, in radians, between -2𝜋 and 2𝜋 such that each angle's terminal side passes through the origin and the given point.

E

In Exercises 87–90, find the absolute value of the radian measure of the angle that the second hand of a clock moves through in the given time.55 seconds

In Exercises 87–90, find the absolute value of the radian measure of the angle that the second hand of a clock moves through in the given time.3 minutes and 40 seconds

In Exercises 8–12, draw each angle in standard position.5𝜋6

In Exercises 8–12, draw each angle in standard position.8𝜋3