Monday: Jan. 28, 2013

  1. Questions on stuff from last time?
  2. Sec. 6.5
  3. Recall radian measure.
  4. Let's look at the Symmetries on the Unit Circle or use Thinking on the Unit Circle
  5. Let's define the trig functions, based on the coordinates of the unit circle.
  6. Some examples with key values.
  7. Let's look at the basic graphs.
  8. Sec. 6.6
  9. The rest of the basic trig graphs.
  10. Graphing Transformed Trig Functions
  11. Given an equation: y = 3cos (2x + π) ‐ 1
    find the characteristics
    graph:
  12. Find the characteristics and equation that goes with the following graph both in terms of sine and cosine:
  13. activity: Now you find the equation and the graph that goes with the following characteristics: period = 12, amplitude = 4, phase shift =3, vertical shift = -2.
  14. Activity solutions: Equation: y = 4sin(π/6(x - 3)) - 2
  15. Addition of Ordinates
  16. Multiplication of Ordinates
  17. Cosine Music Video
  18. Match Each of the linked graphs to these equations:

    1.) y = |x|cos x

    2.) y =-|x|cos x

    3.) y = |x|sin x

    4.) y = -|x|sin x

    5.) y = x cos x

    6.) y = -x cos x

    7.) y = x sin x

    8.) y = -x sin x

  19. Pythagorean Identities
  20. Multiple angle fomrulas.
  21. Example problems: section 5: parts I and II