4.1 Using Radian or Degree Measure In Exercises 1-4, (a) sketch the angle in standard position....

 

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4.1 Using Radian or Degree Measure In Exercises 1-4, (a) sketch the angle in standard position. (b) determine the quadrant in which the angle lies, and (c) determine one positive and one negative coterminal angle. 15m 4m 2. 4 3.-110 4. 280 Converting from Degrees to Radians In Exercises 5-8, convert the angle measure from degrees to radians. Round to three decimal places. 5. 450 6.-112.5 7.-33" 45 8. 197 17 Converting from Radians to Degrees In Exercises 9-12, convert the angle measure from radians to degrees. Round to three decimal places. 11= 9. 10.- 10 6 11.-3.5 12. 5.7 Converting to DM'S Form In Exercises 13 and 14, convert the angle measure to degrees, minutes, and seconds without using a calculator. Then check your answer using a calculator. 13, 198.4 14.-5.96 15. Are Length Find the length of the are on a circle of radius 20 inches intercepted by a central angle of 138. 16. Phonograph Phonograph records are vinyl discs that rotate on a turntable. A typical record album is 12 inches in diameter and plays at 33 revolutions per minute. (a) What is the angular speed of a record album? (b) What is the linear speed of the outer edge of a record album? 17. Circular Sector Find the area of the sector of a circle of radius 18 inches and central angle - 120. 18. Circular Sector Find the area of the sector of a circle of radius 6.5 millimeters and central angle = 5/6. 42 Finding a Point on the Unit Circle In Exercises 19-22, find the point (x, y) on the unit circle that corresponds to the real number f. 2m 7# 19, 1= 20.1= 3 4 7# 21. 1 22. r 6 3 2 r 4.1 Using Radian or Degree Measure In Exercises 1-4, (a) sketch the angle in standard position. (b) determine the quadrant in which the angle lies, and (c) determine one positive and one negative coterminal angle. 15m 4m 2. 4 3.-110 4. 280 Converting from Degrees to Radians In Exercises 5-8, convert the angle measure from degrees to radians. Round to three decimal places. 5. 450 6.-112.5 7.-33" 45 8. 197 17 Converting from Radians to Degrees In Exercises 9-12, convert the angle measure from radians to degrees. Round to three decimal places. 11= 9. 10.- 10 6 11.-3.5 12. 5.7 Converting to DM'S Form In Exercises 13 and 14, convert the angle measure to degrees, minutes, and seconds without using a calculator. Then check your answer using a calculator. 13, 198.4 14.-5.96 15. Are Length Find the length of the are on a circle of radius 20 inches intercepted by a central angle of 138. 16. Phonograph Phonograph records are vinyl discs that rotate on a turntable. A typical record album is 12 inches in diameter and plays at 33 revolutions per minute. (a) What is the angular speed of a record album? (b) What is the linear speed of the outer edge of a record album? 17. Circular Sector Find the area of the sector of a circle of radius 18 inches and central angle - 120. 18. Circular Sector Find the area of the sector of a circle of radius 6.5 millimeters and central angle = 5/6. 42 Finding a Point on the Unit Circle In Exercises 19-22, find the point (x, y) on the unit circle that corresponds to the real number f. 2m 7# 19, 1= 20.1= 3 4 7# 21. 1 22. r 6 3 2 r

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