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Chapter 5 Lesson 1

Chapter 5 Lesson 1. Tori Campbell Heather Wilkerson Sarah Bomar. Terms to Know. Angle- generated by rotating one of two rays that share a fixed endpoint called a vertex. Initial side- the fixed side of the angle. Terminal side- the rotating side of the angle.

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Chapter 5 Lesson 1

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  1. Chapter 5Lesson 1 Tori Campbell Heather Wilkerson Sarah Bomar

  2. Terms to Know • Angle- generated by rotating one of two rays that share a fixed endpoint called a vertex. • Initial side- the fixed side of the angle. • Terminal side- the rotating side of the angle. • Standard Position- an angle with it’s vertex at the origin and it’s initial side along the positive x-axis

  3. Terms Cont… • Degree- the unit used to measure angles • Minutes- the 60 equal parts of the degree subdivision • Seconds- the 60 equal parts of the Minutes subdivision

  4. The Four Quadrants

  5. Coterminal Angles

  6. Definition of the Six Trig Functions

  7. Example 1: Las Vegas, Nevada, is located at about 36.175° north latitude. Change to 36.175° to degrees, minutes, and seconds.

  8. Answer: 1 36.175°= 36° + (0.175  60) = 36° + 10.5’ = 61° + 10 + (0.5  60) = 61° + 10 + 30  36.175° can be written as 60° 10 30.

  9. Example 2: Las Vegas is also located at 115° 8 11 west longitude. Write 115 ° 8 11 as a decimal rounded to the nearest thousandth.

  10. Answer 2: 115 ° 8 11”= 115° + 8 1/60 + 111 1/3600 about 115.136° 115 ° 8 11 can be written as 115.136°.

  11. Example 3: Give the angle measure represented by each rotation. 3.75 rotations clockwise

  12. Answer 3: 3.75  (-360) = -1350 The angle measure of 3.75 clockwise rotations is -1350°

  13. Example 4: 4.2 rotations counterclockwise

  14. Answer 4: 4.2  360 = 1512 The angle measure of 4.2 counterclockwise rotations is 1512°.

  15. ??Questions??

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