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Name _______________________________________ Date __________________ Class __________________
Practice B
Angles of Rotation
Draw an angle with the given measure in standard position.
1. 420°
2. 405°
3. 450°
Find the measures of a positive angle and a negative angle that are
coterminal with each given angle.
4.   425°
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7.   281°
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5.   316°
6.   800°
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8.   4°
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9.   743°
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Find the measure of the reference angle for each given angle.
10.   211°
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13.   119°
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11.   755°
12.   555°
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14.   160°
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15.   235°
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P is a point on the terminal side of  in standard position. Find the
exact value of the six trigonometric functions for .
16. P(5, 5)
17. P(2, 9)
18. P(7, 5)
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Solve.
19. A circus performer trots her pony into the ring. The pony circles
the ring 22 times as the performer flips and turns on the pony’s
back. At the end of the act, the pony exits on the side of the ring
opposite its point of entry. Through how many degrees
does the pony trot during the entire act?
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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date __________________ Class __________________
3.
22. 68°
23. 50°
24. 80°
25. 80°
Practice B
1.
4.
2.
5.
3.
6. a. 388°
b. 332°
7. a. 610°
b. 110°
8. 20°, 340°
9. 354°, 366°
10. 350°, 10°
11. 155°, 205°
12. 267°, 453°
13. 522°, 198°
14. 65°
15. 32°
16. 65°
18. 84°
17. 20°
19. 41°
20. 40°
21. 2°
4. 65°, 295°
5. 44°, 676°
6. 280°, 80°
7. 641°, 79°
8. 356°, 364°
10. 31°
9. 23°, 337°
11. 35°
12. 15°
13. 61°
14. 20°
15. 55°
16. sin  
2
2
; cos   
;
2
2
tan  1; cot  1;
csc   2; sec    2
17. sin  
9 85
2 85
; cos  
;
85
85
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date __________________ Class __________________
9
2
tan   ; cot   ;
2
9
csc  
85
85
; sec  
9
2
csc  
17. sin  
5
7
tan   ; cot   ;
7
5
csc   
csc    5; sec   
74
74
; sec   
5
7
18. sin 
19. 8100°
tan  
1. 40°, 320°
2. 360°, 720°
3. 70°, 290°
4. 207°, 153°
5. 196°, 524°
7. 36°
6. 718°, 2°
8. 28°
9. 91°
10. 54°
11. 20°
12. 13°
5
2
5
12
; cos   ;
13
13
Practice C
13. sin 
5
2 5
; cos   
;
5
5
1
tan  ; cot   2;
2
5 74
7 74
; cos   
74
74
18. sin   
13
13
; sec  
3
2
5
12
; cot    ;
12
5
13
13
; sec   
5
12
19. 1598.4°
csc  
Reteach
1.
14 197
197
; cos   
;
197
197
tan  14; cot   
1
;
14
197
; sec    197
14
csc  
2
2
; cos   
;
14. sin  
2
2
2.
tan  1; cot   1;
csc    2; sec    2
15. sin  
2 13
3 13
; cos  
;
13
13
2
3
tan   ; cot    ;
3
2
csc   
16. sin 
13
13
; sec  
2
3
3 13
2 13
; cos  
;
13
13
3
2
tan  ; cot   ;
2
3
3. 505
215
4. 230
490
5. 570
150
6. 60
7. 45
8. 70
Challenge
1. About 1.52
2. 1.0
3. 1.97  108 m per s____ 4.
2.42
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry