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NMTA Math: Solving Trigonometric Equations 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. Solve sin x = -1.

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

Question 3 3. Which of these problems has a restricted domain?

Question 4 4. What is the range of the inverse cosine function?

Question 5 5. How many solutions does a trigonometric equation have?

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Question 6 6. Solve cos x - 1 = 0.

Question 7 7.

This problem simplifies to what?

sin^2 (x) + tan (x) + cos^2 (x) = 0

Question 8 8.

What do you do to both sides to get your variable by itself?

tan (x) = 1/2

Question 9 9. Which of the following answers is out of range for the arctangent function?

Question 10 10. What are the answers for sin (x) = 1/2?

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Question 11 11. Solve the following trigonometric equation for x.

Question 12 12. What is the period of the sine function?

Question 13 13. Which of the following statements about trig functions can help you find solutions that are within the restricted domain range?

Question 14 14. What is the period of the tangent function?

Question 15 15. Which exponent is used to denote the inverse trig functions?

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Question 16 16. Which answer do you get when you calculate an inverse trig function on a calculator?

Question 17 17. Solve the following equation for x.

Question 18 18. Solve the following equation for θ.

Question 19 19. Solve for the value of x in the trigonometric equation below. (Use the domain -π/2 to π/2)

Question 20 20. How many solutions does the cosine function have between 2pi and 4pi?

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Question 21 21. Solve f(x) = cos (x) where the domain is restricted between 2pi and 4 pi.

Question 22 22. What is the standard period of the sine function?

Question 23 23. What are the primary solutions for sin x = 0?

Question 24 24. Solve sin^2 (x) + tan (x) + cos^2 (x) = 0 for x between 0 and pi.

Question 25 25. Trigonometric identities are what kind of statements?

NMTA Math: Solving Trigonometric Equations 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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