Test 11 - Chapter 11 trig graphs 2015 - White Plains Middle School · 2015-03-20 · in the domain...

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Ms. Williams Chapter 11 Test White Plains High School Chapter 11 – Test Graphs of Trigonometric Functions 1) ______________________ 2) ______________________ 3) ______________________ 4) ______________________ 5) ______________________ 6) ______________________ 7) ______________________ 8) ______________________ 9) ______________________ 10) ______________________ 11) ______________________ 12) ______________________ 13) ______________________ 14) ______________________ 15) ______________________ 16) ______________________ 17) ______________________ Part I: out of 34 = _______ Part II: out of 16 = _______ Part III: out of 6 = _______ Part VI: out of 10 = _______ Total: out of 66 = _______ Percentage: = _______%

Transcript of Test 11 - Chapter 11 trig graphs 2015 - White Plains Middle School · 2015-03-20 · in the domain...

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

Chapter  11  –  Test  Graphs  of  Trigonometric  Functions  

1) ______________________  2) ______________________  3) ______________________  4) ______________________  5) ______________________  6) ______________________  7) ______________________  8) ______________________  9) ______________________  10) ______________________  11) ______________________  12) ______________________  13) ______________________  14) ______________________  15) ______________________  16) ______________________  17) ______________________      

Part I: out of 34 = _______ Part II: out of 16 = _______ Part III: out of 6 = _______ Part VI: out of 10 = _______ Total: out of 66 = _______ Percentage: = _______%

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

Problems are 2 points each unless stated otherwise. Show all work for multiple choice problems!

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

16)

17)

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

Part II: Answer all questions in this part. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [16 points]

18. 19.  

[3  points]  

[3  points]  

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

20.      Graph  y  =  csc  x    –    1    from    0  ≤  x  ≤  2π   21.

[5  points]  

[5  points]  

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

Part III: Answer all questions in this part. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [6 points]

22.

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

Part IV: Answer all questions in this part. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [10 points]

23. On the same set of axes, sketch the graphs of y = 4 sin 2x and y = -cos x in the domain 0   ≤ 𝑥   ≤  2𝜋. In the interval 0   ≤ 𝑥   ≤  2𝜋, how many values of x satisfy the equation 4 sin2x = -cos x?

Ms.  Williams   Chapter  11  Test                                                                      White  Plains  High  School  

BONUS:

Graph y = ⎟⎠

⎞⎜⎝

⎛ −4

2cos3 πx + 4 from x = -2π to x = 2π. [10 points]