Saxon Calculus: 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 165° in radians?

Question 2 2. What are all the solutions to the function f(x) = cos (2x) between 0 and 2pi?

Question 3 3. Solve the following trigonometric equation for x.

Question 4 4.

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

tan (x) = 1/2

Question 5 5. Which set of identities allows you to simplify a trig function with an angle that is doubled?

Page 2

Question 6 6. If theta of a right triangle on the unit circle is θ = 0, then what is the cosine of theta (θ)?

Question 7 7. What is the function related to tan x = 2?

Question 8 8. Consider a right triangle on the unit circle. If theta (θ) is 90, then cos(θ) is _____.

Question 9 9. What is the trigonometric ratio for tangent?

Question 10 10. The sum to product identities allow you to do what?

Page 3

Question 11 11. What is the range of the inverse cosine function?

Question 12 12.

Which of the following angles gives a cosine of 0?

A) 3pi/2

B) 0

C) pi/2

D) pi

Question 13 13. Solve the following equation for x.

Question 14 14. Simplify the following expression. Report the answer in degrees.

Question 15 15. Solve sin^2 (x) + tan (x) + cos^2 (x) = 0 for x between 0 and pi.

Page 4

Question 16 16.

This problem simplifies to what?

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

Question 17 17. Perform the following calculation. Report the answer in radians.

Question 18 18. Which of the following answers is out of range for the arctangent function?

Question 19 19. Convert the following measurement in radian to degrees.

Question 20 20.

How many solutions does this function have between 0 and 2pi inclusive?

f(x) = tan x

Page 5

Question 21 21. What is the cosecant of pi/6?

Question 22 22. In the pictured triangle, what ratio represents the cosine of theta?

Question 23 23. Trigonometric identities are what kind of statements?

Question 24 24. The Pythagorean Identities uses which of the following theorems?

Question 25 25. The radius of a unit circle is _____.

Page 6

Question 26 26. How many solutions does sin x = 1 have between 0 and 2pi?

Question 27 27. Solve the following equation for θ.

Question 28 28. What is the sine of pi?

Question 29 29. What are the solutions of f(x) = 3 sin x - 2 between 0 and 2pi?

Question 30 30. Solve for the value of x in the trigonometric equation below. (Use the domain -π/2 to π/2)

Saxon Calculus: 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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