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

Question 2 2. Solve sin x = -1.

Question 3 3. Trigonometric identities are what kind of statements?

Question 4 4. What is the period of the tangent function?

Question 5 5. Solve the following equation for θ.

Page 2

Question 6 6. What is the period of the sine function?

Question 7 7. Solve the following trigonometric equation for x.

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

Question 9 9. What is the standard period of the sine function?

Question 10 10. Solve for the value of x in the trigonometric equation below. (Use the domain -π/2 to π/2)

Page 3

Question 11 11. Solve sin^2 (x) + tan (x) + cos^2 (x) = 0 for x between 0 and pi.

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

Question 13 13. Which exponent is used to denote the inverse trig functions?

Question 14 14. Solve the following trigonometric equation for θ.

Question 15 15. Which of the following statements about trig functions can help you find solutions that are within the restricted domain range?

Page 4

Question 16 16. Which of these problems has a restricted domain?

Question 17 17. Which answer do you get when you calculate an inverse trig function on a calculator?

Question 18 18. Solve cos x - 1 = 0.

Question 19 19. Solve the following equation for x.

Question 20 20. What are the answers for sin (x) = 1/2?

Page 5

Question 21 21.

This problem simplifies to what?

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

Question 22 22. What is the range of the inverse cosine function?

Question 23 23.

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

tan (x) = 1/2

Question 24 24. How many solutions does the cosine function have between 2pi and 4pi?

Question 25 25. Solve f(x) = cos (x) where the domain is restricted between 2pi and 4 pi.

NES 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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