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# NMTA Math: Trigonometric Graphs Chapter Exam

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### Page 1

#### Question 1 1. How many solutions does sin x = 1 have between 0 and 2pi?

#### Question 2 2. The function csc (x - 3) is shifted in which direction?

#### Question 3 3. If a trigonometric equation is a trigonometric identity, what will the graphs for each side of the equation show?

#### Question 4 4. The secant function has how long of a period?

#### Question 5 5. What does identity mean?

### Page 2

#### Question 6 6. Which tangent function would result in the graph below?

#### Question 7 7. A tangent function undergoes the following transformations: reflection, vertical stretch of 2, period of π/2. What is the equation for this trigonometric function?

#### Question 8 8. What is the function related to tan x = 2?

#### Question 9 9. Which of the following graphs represents y = 3sin(2x)?

#### Question 10 10. The cosecant function is the reciprocal of which function?

### Page 3

####
Question 11
11.
How many solutions does this function have between 0 and 2pi inclusive?

f(x) = tan x

#### Question 12 12. What is a trigonometric identity?

#### Question 13 13. Which of the following is an identity?

#### Question 14 14. Which graph describes the function y = tan(θ - π/2) + 2?

#### Question 15 15. Which of the following graphs represents y = sin(x + π/2)?

### Page 4

#### Question 16 16. The cotangent function has a period of what?

#### Question 17 17. What are all the solutions to the function f(x) = cos (2x) between 0 and 2pi?

#### Question 18 18. What is the period of y = sin(6x)?

#### Question 19 19. When two graphs are identical, how many points on the graph are also identical?

#### Question 20 20. Which of the following has a graph that is shifted 4 spaces upwards?

### Page 5

#### Question 21 21. What is the function for the following graph?

#### Question 22 22. What are the solutions of f(x) = 3 sin x - 2 between 0 and 2pi?

#### Question 23 23. What is the amplitude of y = 2cos(x)?

#### Question 24 24. A tangent function has an amplitude (steepness) of 3, period of π, a transformation of π/2 to the right, and a transformation down 1. What is the equation for this trigonometric function?

#### Question 25 25. Which of the following graphs represents y = 2cos(x)?

#### NMTA Math: Trigonometric Graphs Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!