Exercises 4.1, page 116

  1. 1. 865.6 ° 

  2. 3.  − 135 °  (answers may vary)

  3. 5.

    An upward opening V shape with a vertex at the origin. One angle goes counterclockwise to the segment in quadrant 1, another goes counterclockwise to the segment in quadrant 2, and another goes clockwise to the negative y-axis.

  4. 7.

    The graph of segments extending into quadrants 1, 3, and 4 from the origin. An angle goes counterclockwise to the segment in quadrant 1, another goes clockwise to the segment in quadrant 3, and another goes clockwise to the segment in quadrant 4.

  5. 9. 485 °  ,   − 235 ° 

  6. 11. 210 °  ,   − 510 ° 

  7. 13. 638.1 °  ,   − 81.9 ° 

  8. 15. 38.67 ° 

  9. 17. 254.79 ° 

  10. 19. 72.02 ° 

  11. 21.  − 235.49 ° 

  12. 23. 1.48

  13. 25. 6.72

  14. 27. 47 °  30 ′ 

  15. 29.  − 5 °  37 ′ 

  16. 31. 15.20 ° 

  17. 33. 301.27 ° 

  18. 35.

    The graph is a terminal side that passes through (4, 2) at counterclockwise angle theta.

  19. 37.

    The graph is a terminal side that passes through (negative 3, negative 5) at counterclockwise angle theta.

  20. 39.

  21. 41.

  22. 43. I, IV

  23. 45. I, quadrantal

  24. 47. ...

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