mckeague/turner trigonometry 8e - chapter 2 form a · let triangle abc be a right triangle with ....

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McKeague/Turner Trigonometry 8e - Chapter 2 Form A Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the complement and supplement of the angle 55 . a. Complement: 45 Supplement: 145 d. Complement: 125 Supplement: 305 b. Complement: 125 Supplement: 35 e. Complement: 35 Supplement: 125 c. Complement: 145 Supplement: 235 ____ 2. Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve for x in the following right triangle: 2 ? 10 x x + 4 a. 3 d. 4 b. 2 e. 5 c. 1 © 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

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Page 1: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. Find the complement and supplement of the angle 55 .

a. Complement: 45 Supplement: 145

d. Complement: 125 Supplement: 305

b. Complement: 125 Supplement: 35

e. Complement: 35 Supplement: 125

c. Complement: 145 Supplement: 235

____ 2. Let triangle ABC be a right triangle with . If and , find b.

a. d. b. e. None of the above.

c. 13

____ 3. Solve for x in the following right triangle:

2 ? 10

x

x+ 4

a. 3 d. 4 b. 2 e. 5 c. 1

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 2: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 4. Find the lengths of the shortest two sides of a triangle, if the length of the longest side is 16.

a. 4 ,

d. 4 ,

b. 4 , e. 8 ,

c. 8 ,

____ 5. Find the length of the shorter sides of a triangle if the length of the hypotenuse is 21. a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 3: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 6. Graph the following parabola.

a.

d.

b.

e. None of the above.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 4: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 7. Find the distance between the two points and . a. 102 b. 51 c. 48 d. 153 e. 99

____ 8. Determine two coterminal angles (one positive and one negative) for . a. b. c. d. e.

____ 9. Determine which of the following points is located in quadrant 4.

a. d.

b. e.

c.

____ 10. Which of the following points lies on the unit circle?

a.

b.

c.

d.

e. None of the above.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 5: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 11. Given and , determine the following:

a.

b.

c. d. e. undefined

____ 12. Given the figure below, determine the value of .

a. =

b. =

c. =

d. =

e. =

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 6: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 13. The point is on the terminal side of an angle in standard position. Determine the exact value of .

a.

b.

c.

d.

e.

____ 14. Indicate the two quadrants could terminate in if .

a. Quadrants II and III d. Quadrants II and IV b. Quadrants I and III e. Quadrants III and IV c. Quadrants I and IV

____ 15. Evaluate .

a.

d.

b.

e.

c.

____ 16. Find if .

a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 7: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 17. Find if and .

a.

d.

b.

e.

c.

____ 18. If and terminates in QIII, find .

a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 8: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 19. Suppose and terminates in QII. Find the remaining trigonometric ratios of .

a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 9: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 20. If , find .

a. d.

b.

e.

c.

____ 21. Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

a. b.

c.

d. e.

____ 22. Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

a. b. c. d. e.

____ 23. Which of the following is equivalent to the given expression?

a. b. c. d. e.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 10: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

____ 24. Simplify the expression as much as possible after substituting for x.

a. d.

b. e.

c.

____ 25. Simplify the expression as much as possible after substituting for x.

a. d. b. e. c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 11: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form A

 

Answer Section

1. E

2. D

3. B

4. C

5. A

6. B

7. B

8. D

9. B

10. C

11. D

12. C

13. E

14. D

15. E

16. E

17. E

18. B

19. E

20. E

21. D

22. A

23. B

24. C

25. E

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 12: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. Find the complement and supplement of the angle 59 .

a. Complement: 31 Supplement: 121

d. Complement: 149 Supplement: 239

b. Complement: 121 Supplement: 31

e. Complement: 121 Supplement: 301

c. Complement: 41 Supplement: 141

____ 2. Let triangle ABC be a right triangle with . If and , find b.

a. 9 d. b. e. None of the above.

c.

____ 3. Solve for x in the following right triangle:

? 58

x

x+ 4

a. 6 d. 5 b. 4 e. 3 c. 2

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 13: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 4. Find the lengths of the shortest two sides of a triangle, if the length of the longest side is 24.

a. 6 , d. 12 ,

b. 6 ,

e. 12 ,

c. 6 ,

____ 5. Find the length of the shorter sides of a triangle if the length of the hypotenuse is 17. a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 14: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 6. Graph the following parabola.

a.

d.

b.

e. None of the above.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 15: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 7. Find the distance between the two points and . a. 40 b. 20 c. 17 d. 60 e. 37

____ 8. Determine two coterminal angles (one positive and one negative) for . a. b. c. d. e.

____ 9. Determine which of the following points is located in quadrant 4.

a. d.

b. e.

c.

____ 10. Which of the following points lies on the unit circle?

a.

b.

c.

d.

e. None of the above.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 16: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 11. Given and , determine the following:

a. b. c.

d.

e. undefined

____ 12. Given the figure below, determine the value of .

a. =

b. =

c. =

d. =

e. =

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 17: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 13. The point is on the terminal side of an angle in standard position. Determine the exact value of . a.

b.

c.

d.

e.

____ 14. Indicate the two quadrants could terminate in if .

a. Quadrants I and III d. Quadrants II and IV b. Quadrants II and III e. Quadrants III and IV c. Quadrants I and IV

____ 15. Evaluate .

a.

d.

b.

e.

c.

____ 16. Find if .

a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 18: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 17. Find if and .

a.

d.

b.

e.

c.

____ 18. If and terminates in QIV, find .

a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 19: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 19. Suppose and terminates in QII. Find the remaining trigonometric ratios of .

a.

d.

b.

e.

c.

____ 20. If , find .

a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 20: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 21. Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

a. b.

c.

d. e.

____ 22. Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

a. b. c.

d. e.

____ 23. Which of the following is equivalent to the given expression?

a. b. c. d. e.

____ 24. Simplify the expression as much as possible after substituting for x.

a. d. b. e. c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 21: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

____ 25. Simplify the expression as much as possible after substituting for x.

a. d. b. e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 22: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form B

 

Answer Section

1. A

2. C

3. E

4. E

5. B

6. C

7. B

8. D

9. D

10. C

11. D

12. C

13. E

14. D

15. D

16. A

17. B

18. C

19. E

20. C

21. D

22. A

23. B

24. B

25. B

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 23: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

Multiple Choice/Short Answer Identify the choice that best completes the statement or answers the question/Use the space provided to write your answer.

____ 1. Find the complement and supplement of the angle 54 .

a. Complement: 36 Supplement: 126

d. Complement: 144 Supplement: 234

b. Complement: 126 Supplement: 36

e. Complement: 126 Supplement: 306

c. Complement: 46 Supplement: 146

2. Determine two coterminal angles (one positive and one negative) for .

____ 3. Let triangle ABC be a right triangle with . If and , find b.

a. d. b. e. None of the above.

c. 13

____ 4. Solve for x in the following right triangle:

2 ? 10

x

x - 4

a. 9 d. 8 b. 6 e. 7 c. 5

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 24: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

____ 5. Find the lengths of the shortest two sides of a triangle, if the length of the longest side is 16.

a. 4 ,

d. 4 ,

b. 4 , e. 8 ,

c. 8 ,

____ 6. Find the length of the shorter sides of a triangle if the length of the hypotenuse is 21. a.

d.

b.

e.

c.

7. Given the figure below, determine the value of .

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 25: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

____ 8. Graph the following parabola.

a.

d.

b.

e. None of the above.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 26: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

____ 9. Find the distance between the two points and . a. 102 b. 51 c. 48 d. 153 e. 99

____ 10. Determine which of the following points is located in quadrant 4.

a. d.

b. e.

c.

____ 11. Which of the following points lies on the unit circle?

a.

b.

c.

d.

e. None of the above.

12. Given and , determine the following:

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 27: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

____ 13. Indicate the two quadrants could terminate in if .

a. Quadrants III and IV d. Quadrants II and III b. Quadrants I and III e. Quadrants II and IV c. Quadrants I and IV

____ 14. Evaluate .

a.

d.

b.

e.

c.

____ 15. Find if .

a.

d.

b.

e.

c.

____ 16. Find if and .

a.

d.

b.

e.

c.

____ 17. Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

a. b. c. d.

e.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 28: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

____ 18. If and terminates in QIV, find .

a.

d.

b.

e.

c.

19. The point is on the terminal side of an angle in standard position. Determine the exact value of .

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 29: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

____ 20. Suppose and terminates in QII. Find the remaining trigonometric ratios of .

a.

d.

b.

e.

c.

____ 21. If , find .

a.

d.

b.

e.

c.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 30: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

____ 22. Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

a. b. c. d. e.

____ 23. Simplify the expression as much as possible after substituting for x.

a. d. b. e. c.

____ 24. Simplify the expression as much as possible after substituting for x.

a. d. b. e.

c.

25. Which of the following is equivalent to the given expression?

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 31: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form C

 

Answer Section

1. A

2.

3. D

4. B

5. C

6. A

7. =

8. D

9. B

10. E

11. D

12.

13. E

14. D

15. B

16. B

17. A

18. D

19.

20. B

21. D

22. D

23. A

24. B

25.

© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.

Page 32: McKeague/Turner Trigonometry 8e - Chapter 2 Form A · Let triangle ABC be a right triangle with . If and , find b. a. d. b. e. None of the above. c. 13 ____ 3. Solve ... McKeague/Turner

McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

Multiple Choice/Short Answer Identify the choice that best completes the statement or answers the question/Use the space provided to write your answer.

1. Determine two coterminal angles (one positive and one negative) for .

____ 2. Find the complement and supplement of the angle 59 .

a. Complement: 121 Supplement: 301

d. Complement: 121 Supplement: 31

b. Complement: 41 Supplement: 141

e. Complement: 31 Supplement: 121

c. Complement: 149 Supplement: 239

____ 3. Let triangle ABC be a right triangle with . If and , find b.

a. 17 d. b. e. None of the above.

c.

____ 4. Solve for x in the following right triangle:

2 ? 10

x

x+ 4

a. 1 d. 3 b. 5 e. 2 c. 4

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

____ 5. Find the lengths of the shortest two sides of a triangle, if the length of the longest side is 16.

a. 4 ,

d. 4 ,

b. 4 , e. 8 ,

c. 8 ,

6. The point is on the terminal side of an angle in standard position. Determine the exact value of .

____ 7. Find the length of the shorter sides of a triangle if the length of the hypotenuse is 17. a.

d.

b.

e.

c.

8. Given the figure below, determine the value of .

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

____ 9. Graph the following parabola.

a.

d.

b.

e. None of the above.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

____ 10. Determine which of the following points is located in quadrant 4.

a. d.

b. e.

c.

____ 11. Find if and .

a.

d.

b.

e.

c.

____ 12. Which of the following points lies on the unit circle?

a.

b.

c.

d.

e. None of the above.

13. Given and , determine the following:

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

____ 14. Which of the following is equivalent to the given expression?

a. b. c. d. e.

____ 15. Evaluate .

a.

d.

b.

e.

c.

____ 16. Indicate the two quadrants could terminate in if .

a. Quadrants I and III d. Quadrants II and III b. Quadrants II and IV e. Quadrants III and IV c. Quadrants I and IV

____ 17. Find if .

a.

d.

b.

e.

c.

____ 18. Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

a. b. c.

d. e.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

____ 19. If and terminates in QIV, find .

a.

d.

b.

e.

c.

____ 20. Find the distance between the two points and . a. 104 b. 52 c. 49 d. 156 e. 101

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

____ 21. Suppose and terminates in QII. Find the remaining trigonometric ratios of .

a.

d.

b.

e.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

____ 22. If , find .

a. d. b. e.

c.

____ 23. Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.

a. b.

c.

d. e.

____ 24. Simplify the expression as much as possible after substituting for x.

a. d.

b. e. c.

____ 25. Simplify the expression as much as possible after substituting for x.

a. d. b. e. c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form D

 

 

Answer Section

1.

2. E

3. C

4. E

5. C

6.

7. E

8. =

9. A

10. C

11. C

12. C

13.

14. B

15. D

16. B

17. C

18. A

19. A

20. B

21. B

22. D

23. D

24. B

25. E

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

Multiple Choice/Short Answer Identify the choice that best completes the statement or answers the question/Use the space provided to write your answer.

____ 1. Use fundamental identities to simplify the expression below and then determine which of the

following is not equivalent.

a.

b.

c.

d. e.

____ 2. Find the complement and supplement of the angle 59 .

a. Complement: 121 Supplement: 31

d. Complement: 41 Supplement: 141

b. Complement: 31 Supplement: 121

e. Complement: 149 Supplement: 239

c. Complement: 121 Supplement: 301

____ 3. Determine which of the following points is located in quadrant 4.

a. d.

b. e.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

____ 4. Which of the following points lies on the unit circle?

a.

b.

c.

d.

e. None of the above.

____ 5. Let triangle ABC be a right triangle with . If and , find b.

a. d. 17

b. e. None of the above.

c.

6. Determine two coterminal angles (one positive and one negative) for .

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

____ 7. Solve for x in the following right triangle:

4 ? 5

x

x+ 4

a. 6 d. 3 b. 7 e. 4 c. 5

____ 8. Find the lengths of the shortest two sides of a triangle, if the length of the longest side is 20.

a. 10 , d. 5 , b.

10 , e.

5 ,

c. 5 ,

9. Given the figure below, determine the value of .

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

____ 10. Indicate the two quadrants could terminate in if .

a. Quadrants III and IV d. Quadrants I and IV b. Quadrants II and IV e. Quadrants II and III c. Quadrants I and III

____ 11. Evaluate .

a.

d.

b.

e.

c.

12. The point is on the terminal side of an angle in standard position. Determine the exact value of .

____ 13. Find if .

a.

d.

b.

e.

c.

____ 14. Find if and .

a.

d.

b.

e.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

____ 15. Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

a. b. c. d.

e.

____ 16. If and terminates in QIII, find .

a.

d.

b.

e.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

____ 17. Suppose and terminates in QII. Find the remaining trigonometric ratios of .

a.

d.

b.

e.

c.

____ 18. If , find .

a. d. b.

e.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

____ 19. Find the length of the shorter sides of a triangle if the length of the hypotenuse is 19. a.

d.

b.

e.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

____ 20. Graph the following parabola.

a.

d.

b.

e. None of the above.

c.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

21. Given and , determine the following:

____ 22. Find the distance between the two points and . a. 170 b. 85 c. 82 d. 255 e. 167

____ 23. Simplify the expression as much as possible after substituting for x.

a. d.

b. e.

c.

____ 24. Simplify the expression as much as possible after substituting for x.

a. d. b. e. c.

____ 25. Which of the following is equivalent to the given expression?

a. b. c. d. e.

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McKeague/Turner Trigonometry 8e - Chapter 2 Form E

 

Answer Section

1. D

2. B

3. E

4. B

5. A

6.

7. E

8. A

9. =

10. B

11. A

12.

13. C

14. D

15. A

16. A

17. E

18. D

19. C

20. B

21.

22. B

23. A

24. E

25. B

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McKeague/Turner Trigonometry Chapter 2 Form F

 

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. Use fundamental identities to simplify the expression below and then determine which of the

following is not equivalent.

a.

b.

c.

d. e.

____ 2. Find the complement and supplement of the angle 55 .

a. Complement: 45 Supplement: 145

d. Complement: 35 Supplement: 125

b. Complement: 125 Supplement: 35

e. Complement: 125 Supplement: 305

c. Complement: 145 Supplement: 235

____ 3. Determine which of the following points is located in quadrant 4.

a. d.

b. e.

c.

____ 4. Which of the following points lies on the unit circle?

a.

b.

c.

d.

e. None of the above.

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McKeague/Turner Trigonometry Chapter 2 Form F

 

5. Determine two coterminal angles (one positive and one negative) for .

____ 6. Let triangle ABC be a right triangle with . If and , find b.

a. d. b. e. None of the above.

c. 13

____ 7. Solve for x in the following right triangle:

? 58

x

x - 4

a. 8 d. 7 b. 9 e. 10 c. 6

____ 8. Find the lengths of the shortest two sides of a triangle, if the length of the longest side is 16.

a. 4 ,

d. 4 ,

b. 4 , e. 8 , c.

8 ,

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McKeague/Turner Trigonometry Chapter 2 Form F

 

____ 9. Indicate the two quadrants could terminate in if .

a. Quadrants I and III d. Quadrants I and IV b. Quadrants III and IV e. Quadrants II and IV c. Quadrants II and III

____ 10. Evaluate .

a.

d.

b.

e.

c.

11. The point is on the terminal side of an angle in standard position. Determine the exact value of .

____ 12. Find if .

a.

d.

b.

e.

c.

____ 13. Find if and .

a.

d.

b.

e.

c.

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McKeague/Turner Trigonometry Chapter 2 Form F

 

____ 14. Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

a. b. c.

d. e.

____ 15. If and terminates in QIII, find .

a.

d.

b.

e.

c.

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McKeague/Turner Trigonometry Chapter 2 Form F

 

____ 16. Suppose and terminates in QII. Find the remaining trigonometric ratios of .

a.

d.

b.

e.

c.

17. Given and , determine the following:

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McKeague/Turner Trigonometry Chapter 2 Form F

 

____ 18. If , find .

a. d.

b.

e.

c.

____ 19. Find the length of the shorter sides of a triangle if the length of the hypotenuse is 17. a.

d.

b.

e.

c.

20. Given the figure below, determine the value of .

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McKeague/Turner Trigonometry Chapter 2 Form F

 

____ 21. Graph the following parabola.

a.

d.

b.

e. None of the above.

c.

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McKeague/Turner Trigonometry Chapter 2 Form F

 

____ 22. Find the distance between the two points and . a. 20 b. 10 c. 7 d. 30 e. 17

____ 23. Which of the following is equivalent to the given expression?

a. b. c. d. e.

____ 24. Simplify the expression as much as possible after substituting for x.

a. d.

b. e.

c.

____ 25. Simplify the expression as much as possible after substituting for x.

a. d. b. e. c.

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McKeague/Turner Trigonometry Chapter 2 Form F

 

McKeague/Turner Trigonometry Chapter 2 Form F Answer Section

1. D

2. D

3. B

4. A

5.

6. D

7. D

8. E

9. E

10. E

11.

12. A

13. B

14. A

15. C

16. D

17.

18. C

19. E

20. =

21. B

22. B

23. B

24. C

25. C

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