College Trigonometry, 2011a

936 Applications of Trigonometry
17.
21.
(
5 √ )
2
2 , −5√ 2
2
(
0, 3 )
5
18. ( 1, √ 3 ) 19.
( )
− 11√ 3
, 11 2 2
22. ( 2 √ 3, −2 ) 23. (0, −9) 24.
25. ( 21 √ 3, 21 ) 26. (117, 0) 27.
29.
33.
37.
(
− 9 )
5 , −12 5
( 4
5 , 3 5)
(
5, π )
2
30. (3, −4) 31.
34.
38.
41. (3,π) 42.
( 3
45.
5 , 4π )
46.
3
( ( √65,π− 1
49.
arctan
8))
51.
(
( )) 12
13,π+arctan
5
53.
(
( )) 7
25, 2π − arctan
24
(√ )
2
55.
2 , π 3
( )
− 2 9 , −4√ 2
9
(
2 √ 3, π )
6
)
(
2, 3π 4
( ) √10, 5π
4
35.
39.
43.
47.
(
6 √ )
5
5 , 12√ 5
5
(
)
− 4√ 5
5 , 2√ 5
5
( )
√ π
, √ π 2
1+π 2 1+π 2
(
7 √ 2, 7π 4
)
(
8, 4π 3
)
( ( 4
10, arctan
3))
50. (20,π− arctan(3))
52.
54.
( 1
3 ,π+arctan(2) )
20. (20, 0)
(
)
− 5√ 2
2 , 5√ 2
2
28. (√ 10, 3 √ 10 )
32.
(√ )
26
52 , −5√ 26
52
36. (5, 12)
40.
44.
(
( 3
15, 2π − arctan
4))
56. (√ 13,π− arctan(2) )
(
2 √ 3, 7π )
6
( 1
2 , 11π )
6
48. (5, arctan (2))
57. r = 6 sec(θ) 58. r = −3 sec(θ) 59. r = 7 csc(θ) 60. θ =0
61. θ = 3π 4
62. θ = π 3
63. θ = arctan(2) 64. r =5
65. r = √ 117 66. r =
19
4cos(θ)−sin(θ)
67. x =
1
cos(θ)−3 sin(θ)
68. r = − sec(θ)tan(θ)
3
69. r = 4 csc(θ) cot(θ) 70. r =2sin(θ) 71. r =4cos(θ) 72. r = cos(θ)