Download Practice B 10-2 Angles of Rotation

Name ________________________________________ Date __________________ Class__________________
LESSON
10-2
Practice B
Angles of Rotation
Draw an angle with the given measure in standard position.
1. 420°
3. 450°
2. 405°
Find the measures of a positive angle and a negative angle that are
coterminal with each given angle.
4. T
425°
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7. T
281°
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5. T
316°
6. T
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8. T
________________________
9. T
4°
800°
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743°
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Find the measure of the reference angle for each given angle.
10. T
211°
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13. T
119°
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11. T
755°
12. T
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14. T
160°
555°
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15. T
_________________________
235°
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P is a point on the terminal side of T in standard position. Find the
exact value of the six trigonometric functions for T.
16. P(5, 5)
18. P(7, 5)
17. P(2, 9)
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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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© Houghton Mifflin Harcourt Publishing Company
258
Holt McDougal Advanced Algebra
3.
5.
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°
17. 20°
18. 84°
19. 41°
20. 40°
21. 2°
22. 68°
23. 50°
24. 80°
25. 80°
4. 65°, 295°
5. 44°, 676°
6. 280°, 80°
7. 641°, 79°
8. 356°, 364°
9. 23°, 337°
10. 31°
11. 35°
12. 15°
13. 61°
14. 20°
15. 55°
16. sin T
tanT
2
; cos T
2
1; cotT
csc T
17. sin T
tan T
1.
18. sin T
2
9 85
; cos T
85
9
; cot T
2
2
;
2
1;
2; sec T
2 85
;
85
2
;
9
85
; sec T
9
85
2
5 74
; cos T
74
7 74
74
74
7
csc T
Practice B
tan T
5
; cot T
7
csc T
7
;
5
74
; sec T
5
19. 8100°
2.
Practice C
1. 40°, 320°
2. 360°, 720°
3. 70°, 290°
4. 207°, 153°
5. 196°, 524°
6. 718°, 2°
7. 36°
8. 28°
9. 91°
10. 54°
11. 20°
12. 13°
© Houghton Mifflin Harcourt Publishing Company
A54
Holt McDougal Advanced Algebra