Trigonometric Identities: Homeschool Curriculum 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 is the recommendation to help you simplify your more complicated side?

Question 2 2. What is 34 - 10 + (1 + cos (180))/2?

Question 3 3. 2 sin (x) cos (y) is equal to which of the following?

Question 4 4. Where do we get the right triangle that is used in the Pythagorean identities?

Question 5 5. Which of the following do we refer to for special angles?

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Question 6 6. How many sum-to-product identities are there?

Question 7 7. What is the next step?

Question 8 8. Prove sin (x + y) = 2 sin (x) cos (y) - sin (x - y).

Question 9 9. After turning a sum or subtraction of two trig functions into the product of two trig functions, what is the angle of the first term of the product form?

Question 10 10. Which of the following identities can you substitute in to help you simplify this trigonometric equation identity?

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Question 11 11. Which of the following is the alternate form for the sine function?

Question 12 12. (1/2)(cos (x - y) + cos (x + y)) is equal to which of the following?

Question 13 13. Which of the following statements is true?

Question 14 14. Simplify.

Question 15 15. Which of the following is the alternate definition for tangent?

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Question 16 16. The tangent function is equal to which of the following?

Question 17 17. What's the value of sec2 (θ) given that the equation below is true?

Question 18 18. Which of the following is not a possible sum or subtraction combination for our sum-to-product identities?

Question 19 19. Which identity is this?

Question 20 20. How many Pythagorean identities are there?

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Question 21 21.

Which of the following trig functions are part of the sum-to-product identities?

A: sine

B: cosine

C: tangent

Question 22 22. The cosecant function is equal to which of the following?

Question 23 23. Evaluate.

Question 24 24.

Which of the following equals cos^2 (x) - sin^2 (x)?

A: cos (2x)

B: sin (2x)

C: 2 cos^2(x) - 1

Question 25 25. Which of the following equals 1 - 2 sin^2 (x)?

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Question 26 26. The Pythagorean Identities uses which of the following theorems?

Question 27 27. Evaluate.

Question 28 28. Which identities are used to derive the half-angle identities?

Question 29 29. What is 1/sec (180)?

Question 30 30. Simplify the following expression.

Trigonometric Identities: Homeschool Curriculum 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!

High School Trigonometry: Homeschool Curriculum  /  Math Courses
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