Solutions Manual for Trigonometry A Unit Circle Approach 12th Edition By Michael Sullivan

SOLUTIONS MANUAL
TIM BRITT




TRIGONOMETRY :
A UNIT CIRCLE APPROACH
TWELFTH EDITION




Michael Sullivan

Solutions Manual: Part 1: Chapter 6-10
Solutions Manual: Part 2: Chapter 1-5

,Part 1: Chapter 6-10
Chapter 6
Polar Coordinates; Vectors
Section 6.1 15. C

1. 16. C

17. B

18. D

19. A
The point lies in quadrant IV.
20. D

2.  x2  x1 2   y2  y1 2 21.

2
6
3.    9
2

4.
22.




b 23.
5.
a
24.

6. 
4

7. pole, polar axis
25.
8. r cos  ; r sin 

9. b

10. d

11. True 26.
12. False

13. A

14. B


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, Section 6.1: Polar Coordinates


27. 34.




28.



35.




29.
 4 
a. r  0,  2    0  5,  
 3 
 5 
b. r  0, 0    2  5, 
 3 
 8 
c. r  0, 2    4  5, 
30.  3 

36.




 5 
31. a. r  0,  2    0  4,  
 4 
 7 
b. r  0, 0    2   4, 
 4 
 11 
c. r  0, 2    4  4, 
 4 
32.
37.




a. r  0,  2    0  2,  2 
33. b. r  0, 0    2   2,  
c. r  0, 2    4  2, 2 



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, Chapter 6: Polar Coordinates; Vectors


38. 42.




a. r  0,  2    0  3,   
b. r  0, 0    2   3, 0 
c. r  0, 2    4  3, 3 
 5 
39. a. r  0,  2    0  2,  
 3 
 4 
b. r  0, 0    2   2, 
 3 
 7 
c. r  0, 2    4  2, 
 3   3 
a. r  0,  2    0  1,  
 2 

 3  43. x  r cos   3cos  3 0  0
b. r  0, 0    2  1,  2
 2  
y  r sin   3sin  3 1  3
 5  2
c. r  0, 2    4  1, 
 2   
Rectangular coordinates of the point  3,  are
 2
40.  0, 3 .
3
44. x  r cos   4 cos  40  0
2
a. r  0,  2    0  2,   
3
y  r sin   4sin  4  (1)   4
b. r  0, 0    2   2, 0  2
 3 
c. r  0, 2    4  2, 3  Rectangular coordinates of the point  4,  are
 2 
41.  0,  4  .
45. x  r cos    2 cos 0   2 1   2
y  r sin   – 2sin 0  – 2  0  0
Rectangular coordinates of the point  – 2, 0  are
  2, 0  .
 5 
a. r  0,  2    0  3,  
 4  46. x  r cos   3cos   3(1)  3
y  r sin   3sin   3  0  0
 7 
b. r  0, 0    2  3,  Rectangular coordinates of the point  3,   are
 4 
 11 
 3, 0  .
c. (r  0, 2    4  3, 
 4 




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