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Overview of Trigonometry: Help and Review 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. What is x?

Question 2 2. In the pictured triangle, ∠A is 62 degrees and ∠C is 86 degrees. If side a is 112 units long, approximately how long is side c?

Question 3 3. If sin(θ) = 1/2, what is the value of θ in degrees?

Question 4 4. In the pictured triangle, side a is 17 and side c is 20. If ∠B is 19 degrees, then approximately how long is side b? Round the value of the cosine to the nearest whole number.

Question 5 5. Simplify the following expression. Report the answer in degrees.

Page 2

Question 6 6. Which of the following is equal to sin(2x)?

Question 7 7. Find the value of cos(2x) if sin(x) = 5/13 and x is in Quadrant II.

Question 8 8. The lines a and b are parallel lines of length 5 and 2. The lines d and e are parallel to one another, and both are perpendicular to a and b. What is the length of c?

Question 9 9. Solve the following trigonometric equation for x.

Question 10 10. What's the value of 2sin(θ)cos(θ) given that the equation below is true?

Page 3

Question 11 11. In the pictured triangle, ∠A is 137 degrees and ∠B is 28 degrees. If side b is 71 units long, approximately how long is side a?

Question 12 12. Convert the following measurement in radian to degrees.

Question 13 13. Which of the following is equal to cos(2x)?

Question 14 14. What is x?

Question 15 15. In the pictured triangle, ∠A is 98 degrees and ∠B is 12 degrees. If side a is 84 units long, approximately how long is side b?

Page 4

Question 16 16. What is the value of cos(30°)?

Question 17 17. Solve for the value of x in the trigonometric equation below. (Use the domain -π/2 to π/2)

Question 18 18. What is x?

Question 19 19. In the pictured triangle, side b is 12 and side c is 16. If ∠A is 84 degrees, then approximately how long is side a? Round the value of the cosine to the nearest whole number.

Question 20 20. Simplify the following expression.

Page 5

Question 21 21. In the pictured triangle, side a is 9 and side b is 6. If ∠C is 26 degrees, then approximately how long is side c? Round the value of the cosine to the nearest whole number.

Question 22 22. What is the following radian measure in degrees?

Question 23 23. Which of these angles can replace x in tan (x)?

Question 24 24. Solve the following equation for x.

Question 25 25. What is z in terms of x and y?

Page 6

Question 26 26. Which tangent function would result in the graph below?

Question 27 27. What is 165° in radians?

Question 28 28. What is the value of cos(θ) given that the equation below is true?

Question 29 29. You can find the cosine value of an angle by looking at what value on the unit circle?

Question 30 30. What is z in terms of x?

Overview of Trigonometry: Help and Review 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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