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Flashback 9-21-12

Flashback 9-21-12. 1. In the figure below, A, B, C, and D are collinear, FC is parallel to ED , BE is perpendicular to ED, and the measures of FAB and EBA are as marked. What is the measure of FCB ?

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Flashback 9-21-12

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  1. Flashback 9-21-12 1. In the figure below, A, B, C, and D are collinear, FC is parallel to ED, BE is perpendicular to ED, and the measures of FAB and EBA are as marked. What is the measure of FCB ? A. 33° B. 57° C. 63° D. 84° E. Cannot be determined from the given information 2. Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane? F. x – y = 1 G. x + y = 25 H. x2 + y = 25 J. x2 + y2 = 5 K. x2 + y2 = 25

  2. Joke of the day The math teacher was hungry,

  3. but all she had to eat was a piece of pi.

  4. Arc length • Arc length s is found by S = rΘ where r is radius and Θ is angle measure in radians. • i.e. If radius is 3 and angle is 2∏/3, Then s = 3* 2∏/3 = 2 ∏

  5. Graphs of the basic trig functions

  6. Unit Circle

  7. Even trig functions • Cosine • Secant • All others are odd.

  8. Transforming trig functions • Sine function or Sinusoid: • F(x) = A sin [ 2∏/B (x – C)] + D • A = amplitude or vertical stretch or shrink • B = period or horizontal stretch or shrink • C = horizontal shift • D = vertical shift

  9. Example • Y= 3 cos (2x - ∏) + 1 • Re-write as y = 3 cos [ 2(x - ∏/2)] + 1 • Period: 2 ∏/B = 2 so B = ∏ • Domain: (- ∞,∞) • Range: [ -2,4] because the graph has been stretched by factor of 3 (normal cosine range [-1,1]) and shifted UP 1 unit.

  10. Class/homework • P. 52 Ex 1-4, 11-14

  11. Exit Slip • True or false: The period of y = sin(x/2) is ∏. Justify your answer.

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