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.
Home
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