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Real World Trigonometric Applications Chapter Exam

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!

Page 1

Question 1 1. How would you solve this problem?

Question 2 2. Which of the following is the identity for cos (x - y)?

Question 3 3. Find side c.

Question 4 4. Find angle x.

Question 5 5. When two graphs are identical, how many points on the graph are also identical?

Page 2

Question 6 6. If a trigonometric equation is a trigonometric identity, what will the graphs for each side of the equation show?

Question 7 7. What is the function for the following graph?

Question 8 8. Which graph describes the function y = tan(θ - π/2) + 2?

Question 9 9. Which of the following has a graph that is shifted 4 spaces upwards?

Question 10 10. The cotangent function has a period of what?

Page 3

Question 11 11. What is the length of the missing side if the two known sides of a triangle are 3 feet and 6 feet and the angle opposite the missing side is 60 degrees?

Question 12 12. What shape does the law of cosines help you to solve?

Question 13 13.

How many solutions does this function have between 0 and 2pi inclusive?

f(x) = tan x

Question 14 14. What are the solutions of f(x) = 3 sin x - 2 between 0 and 2pi?

Question 15 15. If you want to find a missing side using the law of sines, what information do you need?

Page 4

Question 16 16. Find angle A.

Question 17 17. What is the amplitude of y = 2cos(x)?

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

Question 19 19. If we are given sides a and c along with angle A, which of the following can be found by using the law of sines?

Question 20 20. Find the missing side if the missing side's opposite angle measures 54 degrees and another angle measures 36 with an opposite side that measures 4.

Page 5

Question 21 21. What is the range of the cosine function?

Question 22 22. Which of the following points are on the graph of y = cos x?

Question 23 23. For which of the following can you use the angle sum and difference identities to help you solve the problem?

Question 24 24. To find the measure of an angle of a triangle using the law of cosines, what information do you need?

Question 25 25. Which of the following is an identity?

Page 6

Question 26 26. 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 27 27. The cosecant function is the reciprocal of which function?

Question 28 28. A ladder is 6 feet from a building. The building is 20 feet tall. The angle opposite the ladder is 90. How tall is the ladder?

Question 29 29. What is the function related to tan x = 2?

Question 30 30. Find side c.

Real World Trigonometric Applications 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!

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