Fundamental Elements of 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!

Page 1

Question 1 1. What is the period of the sine wave?

Question 2 2. You draw two circles on the coordinate plane: one with a center at (-2, 0), then one with a center at (0, 0). Both circles have a radius of 1. Which is a unit circle? Why?

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

Question 4 4. What is the amplitude of the cosine wave?

Question 5 5. Which tangent function would result in the graph below?

Page 2

Question 6 6. What is the function for the following graph?

Question 7 7. Which graph describes the function y = tan(θ - π/2) + 2?

Question 8 8. 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 9 9. What are the primary solutions for sin x = 0?

Question 10 10. What is the period of the tangent function?

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Question 11 11. Solve cos x - 1 = 0.

Question 12 12. How many solutions does a trigonometric equation have?

Question 13 13. In the pictured triangle, what ratio represents the cosine of theta?

Question 14 14. What is the acronym to remember sine, cosine and tangent?

Question 15 15. What is the trigonometric ratio for sine?

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Question 16 16. What is the trigonometric ratio for cosine?

Question 17 17. What is the inverse function of f(x) = x/8 + x + 2?

Question 18 18. What is g(f(x)) if f(x) = g-1 (x)?

Question 19 19. For a function f(x), what is f-1 (3*f(x))?

Question 20 20. Find the inverse function of f(x) = 1?

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Question 21 21. Solve the following equation for θ.

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

Question 23 23. Solve the following equation for x.

Question 24 24. Solve the following trigonometric equation for x.

Question 25 25. Which of the following graphs represents y = sin(x + π/2)?

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Question 26 26. What is the amplitude of y = 2cos(x)?

Question 27 27. What is the period of y = sin(6x)?

Question 28 28. Which of the following graphs represents y = 3sin(2x)?

Question 29 29. Which of the following graphs represents y = cos(x)?

Question 30 30. 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?

Fundamental Elements of 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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