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DO NOW

DO NOW. Pick up a folder off the table and write your name on the tab. This is the folder you will turn all quizzes and tests into. It will be alphabetically placed in the top drawer of the filing cabinet. Conversions. Radians to Degrees Degrees to Radians. Use the Calculator. .7185.

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DO NOW

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  1. DO NOW • Pick up a folder off the table and write your name on the tab. • This is the folder you will turn all quizzes and tests into. • It will be alphabetically placed in the top drawer of the filing cabinet.

  2. Conversions Radians to Degrees Degrees to Radians

  3. Use the Calculator .7185 -.3827 -1.428 1.0515 .9004 Find the following to the 4 decimal places Make sure your calculator is in radian mode or degree mode. Use correct mode or your answer will be wrong! Mode Sin 2.34R = radians Cos 5π/8 = radians Tan 125° = degrees Csc 3π/5 = radians Cot 48° = degrees Sec 3π/7 = radians 4.4940

  4. Unit Circle • Fill in the unit circle handout: • Degrees • Radians • Approximate decimals for quadrantals • π/2 ≈1.57 R , π≈ 3.14, 3π/2 ≈ 4.71, 2π ≈ 6.28 • We will use this same sheet the rest of the term. Do not lose it. You will not get a new one.

  5. Notice angles that are multiples of 45° have a 4 in the denominator in radians • Multiples of 30° have a 6 in the denominator • Multiples of 60° have a 3 in the denominator • Approximate decimals for quadrantals • π/2 ≈1.57 R , π≈ 3.14, 3π/2 ≈ 4.71, 2π ≈ 6.28 • THIS WILL BE IMPORTANT LATER! • We will use this same sheet the rest of the term. Do not lose it. You will not get a new one.

  6. What quadrant would the following lie in? 2 2 1 3 1 4 2.15 R 5π/8 1.0 R 7π/6 7π/3 4.97 R

  7. Arc Length and Area of a Sector θ MUST BE IN RADIANS!!

  8. Converting from degrees to radians and radians to degrees • 137° to radian measure • 5π/11 to degree measure • 147° to radians to the 4 decimal place

  9. The diameter of a circle is 20 cm and the measure of the central angle is 130°.A. find length of arcB. find area of corresponding sector • First: write the equations • Second: draw picture and plug values Third: solve • θ must be in radians to use formulas

  10. Solve: • Must be in radians not degrees. We must convert: • Formulas? • Solve: 130º 20 cm s = rθ

  11. Angular VelocityandLinear Velocity

  12. Convert: Convert 20 rpms to rad/sec

  13. Convert 1 revolution in 4 hours to rad/min 2

  14. Find the angular velocity of the minute hand of a clock in one minute. Convert to rad/sec 30

  15. Classwork/Homework • p. 106 # 7-17 odd, 25-39 odd • p. 113 # 1-9, 11-17 odd, 39-42, 47-48, and pick one from 22-24 • p.55 # 1-7 all, 8-15 all (handout/ problems for a different book)

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