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GBK Precalculus Jordan Johnson. Today’s agenda. Greetings Review / Submit HW: Section 4-5 (pp. 180-182): Reading Analysis questions. Exercises Q1-Q10. Exercises 1-9 odd, 15-19 odd. Lesson: More Parametric Functions Homework Clean-up. Two related functions. x = sec t , y = tan t

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Presentation Transcript
today s agenda
Today’s agenda
  • Greetings
  • Review / Submit HW: Section 4-5 (pp. 180-182):
    • Reading Analysis questions.
    • Exercises Q1-Q10.
    • Exercises 1-9 odd, 15-19 odd.
  • Lesson: More Parametric Functions
  • Homework
  • Clean-up
two related functions
Two related functions
  • x = sec t, y = tan t
    • Plot on your grapher.
      • Degree mode
      • t [0°, 360°]
      • t-step = 1
    • Eliminate the parameter (using a trig identity).
    • Modify the parametric equations to dilate it vertically & horizontally by 5 and 3 (resp.) and center it at (-2, 1).
  • x = tan t, y = sec t
    • What do you predict this will look like?
    • Graph it.
a small menagerie of functions
A small menagerie of functions
  • A cycloid:
    • x = t – sin t
    • y = 1 – cos t
  • An epicycloid:
    • x = 5 cos t – cos 5t
    • y = 5 sin t – sin 5t
  • A witch of Agnesi:
    • x = 2 cot t
    • y = 2 sin2t

Maria Agnesi 1718-1799

homework
Homework
  • From Section 4-5: Exercises 11, 13, 16, 22.
  • Due tomorrow, 1/11/11.
clean up reminders
Clean-up / Reminders
  • Pick up all trash / items.
  • Push in chairs (at front and side tables).
  • See you tomorrow!