Functions Statistics and Trigonometry
Welcome to Stats. & Trig.. This year you will review and extend your understanding of linear, quadratic, exponential, and logarithmic functions. You will be introduced to statistics, a way to analyze and interpret data. You may have studied Trigonometry earlier, as it relates to right triangles. This year you will see how Trig. functions apply to circular patterns.
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Algebra
Geometry
Algebra 2
F. S. & T
THIS WEEK'S LESSON QUESTIONS FOR QUIZ
Chapter 4 goes over Circular Trig. functions. You should leatn the "magic circle."
When I remember, I'll put review questions here for your quizzes. Sorry, I forgot this month.
ASSIGNMENTS Click here to see a full scale "Unit Circle" 
4-1: 2-15, 19, 20, 21, 25
4-2: 1-15, skip 11, do 22, 23
4-3: 2-12, 15-17, 20, 21, 22, 32
QUIZ
4-4: 1-21 all, sorry
4-5: ? 
4-6: ?
4-7: 1-16, 18, 20
QUIZ
4-8: 1-16, 17, 19, 22, 23
4-9: 1-13, 18, 19
4-10: 2-8, 10, 13-15
S.T.
Test 4
Other Important Theorems:
(can't find a Theta at the moment, all "A" are Theta)
Pythagorean Identity: for every A, cos^2 A + sin ^2 A = 1.
Opposites Theorem: for all A,        cos (-A) = cos A
                                                   sin (-A) = -sin A
                                                   tan (-A) = -tan A

Supplements Theorem: for all A in Radians     sin (pi - A) = sin A
                                                                  cos (pi - A) = -cos A
                                                                  tan (pi - A) = -tan A

Complement Theorem: for all A in Radians:    sin (pi/2  - A) = cos A    cos (pi/2  -A) = sin A

Graph-Standardization Theorem:
     (1) replace x with (x - h)/a and y with (y - k )/ b in the sentence:
     (2) apply Scale change (x,y) --> (ax, by) followed by applying the Translation
           (x,y) --> (h+h, y+k) to the graph of the original.





Addendum to Theorem:
     Graphs of the functions with equations (y - k)/ b = sin [(x - h)/a] and
                                                             (y - k)/ b - cos [(x - h)/a ] have the following:

              amplitude = |b|
                   period = 2 pi |a|
             phase shift = h
          vertical shift = k
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