Exercises 20.5, page 557

  1. 1. π4 ,  5π4

  2. 3. 0 ,  π3 ,  5π3

  3. 5. π2

  4. 7. π3 ,  5π3

  5. 9. π3 ,  2π3 ,  4π3 ,  5π3

  6. 11. 0  ,  π6 ,  5π6 ,  π

  7. 13. π2 ,  3π2

  8. 15. π4 ,  3π4 ,  5π4 ,  7π4

  9. 17. 0.2618, 1.309, 3.403, 4.451

  10. 19. 0 ,  π

  11. 21. 3π4 = 2.36 , 7π4 = 5.50

    The calculator graph of curves that are periodic about the x-axis. Curves rises with decreasing steepness, inflect at the x-axis, then rise. Zeros are marked at (2.36, 0) and (5.50, 0).
  12. 23. 1.9823, 4.3009

    The calculator graph of a curve that falls through (1.9823, 0), then rises through (4.3009, 0).
  13. 25.

    π3 = 1.05 ,  2π3 = 2.09 , 4π3 = 4.19 ,  5π3 = 5.24

    Two downward opening parabolas with vertices in quadrant 1. One has zeros at (1.05, 0) and (2.09, 0), and the other has zeros at (4.19, 0) and (5.24, 0).
  14. 27.

    π12 = 0.26 ,  π4 = 0.79 ,  5π12 = 1.31 ,  3π4 = 2.36 ,  13π12 = 3.40 ,  5π4 = 3.93 ,  17π12 = 4.45 ,  7π4 = 5.50

  15. 29. 0 = 0.00 ,  π3

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