A 61. f(x) = -2 cos (3x); 0 sxs 1/3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 38E
icon
Related questions
Question
61,67 please
In Problems 11–26, find the exact value of each expression.
11. sin0
14. cos (-1)
12. cos 1
13. sin-(-1)
V3
18. tan
3
-1
15. tan0
16. tan (-1)
17. sin
1. cor (-)
22. sin
19. tan V3
20. sin
23. cos-1 V2
2
1
26. sin-1
24. cos
25. tan
Ear
mrroblems 27-38, use a calculator to find the approximate value of each expression rounded to two decimal places.
\ 27. sin 0.1
30. tan- 0.2
28. cos 0.6
29. tan5
7
31. cos
8
1
32. sin
nonog
34. tan (-3)
33. tan(-0.4)
V3
38. sin-1
5
35. sin(-0.12)
36. cos (-0.44)
37. cos
In Problems 39–58, find the exact value, if any, of each composite function. If there is no value, state it is "not defined." Do not use a calculator.
39. cos
CoS
5
40. sin
41. tan
tan
42. sin
A.
sin
Te
(a
97
sin
8
43. sin
44. cos
45. tan tan
46. tan
tan
(b
(c
47. cos
7%. Aj
48. sin
49. tan
tan
50. tan
(a
51. sin
52.
53. tan ( tan4)
54. tan tan (-2)
(b
(c
55. cos (cos 1.2)
56. sin sin(-2)1
57. tan( tan m)
58. sin[sin(-1.5)]
T. A
Ha
(a
In Problems 59–66, find the inverse function f'of each function f. Find the range of f and the domain and range of f-l.
(b
(c
59. f(x) = 5 sin x + 2; -
60. f(x) = 2 tan x – 3; –< x <
do de
AL
61. f(x) = -2 cos (3x); 0 s xs.
62. f(x) = 3 sin (2xr); -sx
(a
3
(b
(e)
9. Ap
4 Sxs
63. f(x) = -tan (x + 1) – 3; -1 - <x<- 1
64. f(x) = cos (x + 2) + 1; –2 < xS Ħ - 2
Ea
(a)
(b)
(e)
(d)
1
1. T
65. f(x) = 3 sin (2x + 1); -
2
2
66. f(x) = 2 cos (3x + 2); - sx 3
2, T
+
Vistud
In Problems 67-74, find the exact solution of each equation.
67. 4 sin-lx = T
68. 2 cosx = T
80. Ap
69. 3 cos- (2x) = 27
70. -6 sin (3x) =
loc
(a)
(b)
le)
(d)
71. 3 tanx = T
(b)
(o)
72. -4 tanx = 7
74. 5 sin-lx - 2m = 2 sin-1x - 3m
73. 4 coslx – 27 = 2 coslx
Transcribed Image Text:In Problems 11–26, find the exact value of each expression. 11. sin0 14. cos (-1) 12. cos 1 13. sin-(-1) V3 18. tan 3 -1 15. tan0 16. tan (-1) 17. sin 1. cor (-) 22. sin 19. tan V3 20. sin 23. cos-1 V2 2 1 26. sin-1 24. cos 25. tan Ear mrroblems 27-38, use a calculator to find the approximate value of each expression rounded to two decimal places. \ 27. sin 0.1 30. tan- 0.2 28. cos 0.6 29. tan5 7 31. cos 8 1 32. sin nonog 34. tan (-3) 33. tan(-0.4) V3 38. sin-1 5 35. sin(-0.12) 36. cos (-0.44) 37. cos In Problems 39–58, find the exact value, if any, of each composite function. If there is no value, state it is "not defined." Do not use a calculator. 39. cos CoS 5 40. sin 41. tan tan 42. sin A. sin Te (a 97 sin 8 43. sin 44. cos 45. tan tan 46. tan tan (b (c 47. cos 7%. Aj 48. sin 49. tan tan 50. tan (a 51. sin 52. 53. tan ( tan4) 54. tan tan (-2) (b (c 55. cos (cos 1.2) 56. sin sin(-2)1 57. tan( tan m) 58. sin[sin(-1.5)] T. A Ha (a In Problems 59–66, find the inverse function f'of each function f. Find the range of f and the domain and range of f-l. (b (c 59. f(x) = 5 sin x + 2; - 60. f(x) = 2 tan x – 3; –< x < do de AL 61. f(x) = -2 cos (3x); 0 s xs. 62. f(x) = 3 sin (2xr); -sx (a 3 (b (e) 9. Ap 4 Sxs 63. f(x) = -tan (x + 1) – 3; -1 - <x<- 1 64. f(x) = cos (x + 2) + 1; –2 < xS Ħ - 2 Ea (a) (b) (e) (d) 1 1. T 65. f(x) = 3 sin (2x + 1); - 2 2 66. f(x) = 2 cos (3x + 2); - sx 3 2, T + Vistud In Problems 67-74, find the exact solution of each equation. 67. 4 sin-lx = T 68. 2 cosx = T 80. Ap 69. 3 cos- (2x) = 27 70. -6 sin (3x) = loc (a) (b) le) (d) 71. 3 tanx = T (b) (o) 72. -4 tanx = 7 74. 5 sin-lx - 2m = 2 sin-1x - 3m 73. 4 coslx – 27 = 2 coslx
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning