Trigonometric Functions: 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!

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

Question 2 2. Find the value of sin(2x) if cos(x) = 2/5 and x is between 270 and 360 degrees.

Question 3 3. What angle measure divides the first quadrant in half?

Question 4 4. If the hypotenuse of a 30-60-90 triangle is 18, approximately how long is the short leg?

Question 5 5. What is the value of tan(π/3)?

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Question 6 6. What is x?

Question 7 7. Simplify the following expression. Report the answer in degrees.

Question 8 8. Convert the following measurement in radian to degrees.

Question 9 9. What is x?

Question 10 10. What is the following radian measure in degrees?

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Question 11 11. In a right triangle, the sine of an angle is equal to _____.

Question 12 12. 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 2 decimal places.

Question 13 13. 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 2 decimal places.

Question 14 14. Which of the following is equal to sin(2x)?

Question 15 15. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

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Question 16 16. In the pictured triangle, ∠A is 58 degrees and ∠C is 63 degrees. If side a is 84 units long, approximately how long is side c?

Question 17 17. What is x?

Question 18 18. 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 19 19. In the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

Question 20 20. In a right triangle, find the cosine of an angle whose adjacent side has a length of 1 unit, whose opposite side has a length of 1 unit, and whose hypotenuse has a length of √2.

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Question 21 21. 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 22 22. Find the value of cos(2x) if sin(x) = 5/13 and x is in Quadrant II.

Question 23 23. 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 2 decimal places.

Question 24 24. You can find the cosine value of an angle by looking at what value on the unit circle?

Question 25 25. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

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Question 26 26. Which of the following is equal to cos(2x)?

Question 27 27. What is the value of cos(30°)?

Question 28 28. In the pictured triangle, side a is 32, side b is 24, and side c is 37. What is the approximate measure of ∠C? When calculating the inverse cosine, round the initial value to 2 decimal places.

Question 29 29. In the pictured triangle, side a is 23, side b is 18, and side c is 16. What is the approximate measure of ∠C? When calculating the inverse cosine, round the initial value to 2 decimal places.

Question 30 30. Perform the following calculation. Report the answer in radians.

Trigonometric Functions: 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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