Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. 112° 15'

Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. - 70° 48'

Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. See Example 4(a). 38° 42' 18"

Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. 274° 18' 59"

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. See Example 4(b). 174.255°

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. -25.485°

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. 59.0854°

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. 102.3771°

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. 122.6853°

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. See Example 5. 26° 30'

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. ―203° 20'

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. See Example 5. 541°

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. ―541°

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. 1000°

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. 8440°

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. -5280°

Give two positive and two negative angles that are coterminal with the given quadrantal angle. 90°

Give two positive and two negative angles that are coterminal with the given quadrantal angle. 0°

Give two positive and two negative angles that are coterminal with the given quadrantal angle. 270°

Write an expression that generates all angles coterminal with each angle. Let n represent any integer. 135°

Write an expression that generates all angles coterminal with each angle. Let n represent any integer. ―90°

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. 174 °

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. 300 °

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. ―61 °

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. 90 °

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. ―90 °

Solve each problem. See Example 6. Revolutions of a Turntable A turntable in a shop makes 45 revolutions per min. How many revolutions does it make per second?

Solve each problem. See Example 6. Rotating Airplane Propeller An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 2 sec.

Solve each problem. See Example 6. Rotating Pulley A pulley rotates through 75° in 1 min. How many rotations does the pulley make in 1 hr?

Solve each problem. See Example 6. Surveying One student in a surveying class measures an angle as 74.25°, while another student measures the same angle as 74° 20' . Find the difference between these measurements, both to the nearest minute and to the nearest hundredth of a degree.