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# Honors Algebra 2: Trigonometric Applications 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 "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. Find angle A.

#### Question 2 2. What shape does the law of cosines help you to solve?

####
Question 3
3.
Evaluate.

cos 260 cos 20 + sin 260 sin 20

#### Question 4 4. How would you solve this problem?

#### Question 5 5. To find the measure of an angle of a triangle using the law of cosines, what information do you need?

### Page 2

#### Question 6 6. What kinds of triangles can you solve with the law of sines?

#### Question 7 7. What is the length of the missing side if the two known sides of a triangle are 3 feet and 6 feet and the angle opposite the missing side is 60 degrees?

#### Question 8 8. Which of these triangles is not an oblique triangle?

#### Question 9 9. Which of the following is the sine sum identity for sin (x + y)?

#### Question 10 10. Which of the following is the identity for cos (x - y)?

### Page 3

#### Question 11 11. If we are given angles A and C along with side c, which of these formulas can we use to find side a?

#### Question 12 12. Find side c.

#### Question 13 13. A triangle has a side b that measures 10.7, an angle B that measures 95 degrees, and a side c that measures 6.3. What does angle C measure?

#### Question 14 14. Find the missing side if the missing side's opposite angle measures 54 degrees and another angle measures 36 with an opposite side that measures 4.

#### Question 15 15. If we are given sides a and c along with angle A, which of the following can be found by using the law of sines?

### Page 4

#### Question 16 16. Find angle x.

#### Question 17 17. How many sides of a triangle do you need to know in order to use the law of cosines?

#### Question 18 18. Which angle do you need to know in order to use the law of cosines to find an unknown side?

#### Question 19 19. For which of the following can you use the angle sum and difference identities to help you solve the problem?

#### Question 20 20. To find the measure of the side of a triangle using the law of cosines, what information do you need?

### Page 5

#### Question 21 21. A ladder is 6 feet from a building. The building is 20 feet tall. The angle opposite the ladder is 90. How tall is the ladder?

#### Question 22 22. What kinds of triangles does the law of sines work for?

#### Question 23 23. If you want to find a missing side using the law of sines, what information do you need?

#### Question 24 24. Find side c.

#### Question 25 25. When using the law of sines, what information do you need to find a missing angle?

#### Honors Algebra 2: Trigonometric Applications 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 "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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