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Warm-Up 8/15

Warm-Up 8/15. No quiz today. Trigonometric Values of Special Angles Find the exact value for each expression. 1. csc 30 2. cot 60. 2. Q&A on yesterday’s assignment.

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Warm-Up 8/15

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  1. Warm-Up 8/15 No quiz today. Trigonometric Values of Special Angles Find the exact value for each expression. 1. csc30 2. cot 60 2 Q&A on yesterday’s assignment.

  2. Rigor:You will learn how to convert from degrees to radians and radians to degrees.Relevance:You will be able to solve real world right triangle trigonometry problems using degrees and radians.

  3. 4-2a Degrees and Radians

  4. a. 329.125° = 329° + 0.125° Example 1: Convert Between Degree-minute-second (DMS) form and decimal Degree Form. = 329° + 7.5′ = 329° + 7′ + 0.5′ = 329° + 7′ + 30′′ 329.125° = 329° 7′ 30′′ b. 35° 12′ 7′′ = 35° + 12′ + 7′′  35° + 0.2 ° + 0.002° 35° 12′ 7′′  35.202°

  5. Angle Starting position Position after rotation

  6. counterclockwise clockwise

  7. Angle Measure:amount of rotation about vertex needed to “open” rays. The most common angular unit of measure is the degree. 1° is formed by rotating the initial side of a complete revolution.

  8. Conversions: Radians to Degrees: Multiply by Degrees to Radians: Multiply by

  9. b. – 30 = – 30° = 135° a. 135° Example 2: Convert Between Degree and Radian. d. c. °

  10. Coterminal Angles Degrees All angles  + 360n Radians All angles  + 2n

  11. 60 + 360n a. 60° b. 60 + 360 = 420 Example 3: Find and Draw Coterminal Angles. 60 – 360 = – 300

  12. math! • 4-2a Assignment: TX p238, 2-24 even

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