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Algebra II: Trigonometry 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 the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

Question 2 2. Solve the following trigonometric equation for θ.

Question 3 3. You can find the cosine value of an angle by looking at what value on the unit circle?

Question 4 4. Which of the following is equal to cos(2x)?

Question 5 5. Consider a right triangle on the unit circle. If theta (θ) is 90, then cos(θ) is _____.

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Question 6 6. 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 7 7. Simplify the following expression. Report the answer in degrees.

Question 8 8. What is the function for the following graph?

Question 9 9. Convert the following measurement in radian to degrees.

Question 10 10. Find the value of cos(2x) if sin(x) = 5/13 and x is in Quadrant II.

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Question 11 11. If the hypotenuse of a 30-60-90 triangle is 18, approximately how long is the short leg?

Question 12 12. Which of the following graphs represents y = 3sin(2x)?

Question 13 13. What's the value of 2sin(θ)cos(θ) given that the equation below is true?

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

Question 15 15. 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 16 16. In a right triangle, the sine of an angle is equal to _____.

Question 17 17. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

Question 18 18. What is the value of tan(π/3)?

Question 19 19. Solve the following equation for x.

Question 20 20. 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?

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Question 21 21. Simplify the following expression.

Question 22 22. 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 23 23. Solve for the value of x in the trigonometric equation below. (Use the domain -π/2 to π/2)

Question 24 24. What is the value of cos(θ) given that the equation below is true?

Question 25 25. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

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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. What angle measure divides the first quadrant in half?

Question 28 28. If theta of a right triangle on the unit circle is θ = 0, then what is the cosine of theta (θ)?

Question 29 29. If sin(θ) = 1/2, what is the value of θ in degrees?

Question 30 30. What's the value of sec2 (θ) given that the equation below is true?

Algebra II: Trigonometry 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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