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ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.)

ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.). I. II. III. IV. Degrees Radians. 5. 6. 20. Convert from minutes to hours. 1. h rs. 1. 40 min. = 2/3 hrs. 60. min. Sketch the angle. Initial Side. Terminal Side. 1.57. 3.14.

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ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.)

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  1. ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.) I II III IV

  2. Degrees Radians 5 6 20 Convert from minutes to hours. 1 hrs. 1 40 min. = 2/3 hrs. 60 min.

  3. Sketch the angle Initial Side Terminal Side 1.57 3.14

  4. Definition: Two angles are coterminal if they have the same initial and terminal side. Find coterminal angles to

  5. Two angles are complementary if their sum is Find the complement to

  6. Two angles are supplementary if their sum is Find the supplement to

  7. Convert to a decimal in degrees.

  8. Convert to . (.256)(60) 21 15.36 (.36)(60) 21.6 ~22

  9. Arc Length = Radius Angle measure in radians Find the angle in radians. 5 4

  10. Assignment 4.1 • Day 1: 7, 12, 13, 19, 21, 33, 39, 43, 47, 53, 55, 61, 65, 69, 73, 75, 81, 85, 89, 91 • Day 2: 8, 103, 104, 105, 107, 117

  11. Circular Motion ET 4.1c Linear Speed: Object moving along a circle w/ radius r s = distance object travels t = time traveling v = linear speed Example: in/sec Linear Speed: = angular speed “omega” r = radius of circular motion v = linear speed (Don’t need radian label; it’s implied.)

  12. Angular Speed: # of times object can go around per time. = angular speed “omega” = central angle measured in radians “theta” t = time Note: Example: rev/min.

  13. The second hand of a clock is 10.2 cm long. Find the linear speed of the tip of this second hand as it passes around the clock face. s = distance object travels S = t = time traveling Time required to travel this distance would be one minute. t = 1 minute = 60 seconds

  14. A Ferris wheel with 50-foot radius makes 1.5 revolutions per minute. Find the angular speed of the Ferris wheel in radians per minute and the linear speed. What is the label you are looking for? 1.5 rev/min is angular speed S = distance object travels S = 1.5 revolutions = t = time to travel 1.5 rev t = 1 minute

  15. Assignment 4.1 • Day 1: 7, 12, 13, 19, 21, 33, 39, 43, 47, 53, 55, 61, 65, 69, 73, 75, 81, 85, 89, 91 • Day 2: 8, 103, 104, 105, 107, 117

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