17. sin (-1)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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I need help with number 17
Can u please explain it step by step
![SECTION 7.1 The Inverse Sine, Cosine, and Tangent Functions
451
Which of the following inequalities describes
where sin (sinx) = x?
(a) - 00 <x< 0
(a) f(x) = tan" (2x); -00 <r<o0
(b) f(x) = 2 tan x; -00 <r<0
(b) 0SIST
(d) -*5
(c) -1sxsI
4 Choose the inverse function f of
(c) f(x) =
tanx; -00<x< 00
2
(d) f(x) = tan
x): - 00 <x< 0
f(x) =
2 lan x,
Skill Building
Problems 15-26, find the exact value of each expression.
16. cos 1
17. sin (-1)
18. cos (-1)
\s sin 0
V2
21. sin
V3
22. tan
3
20. tan(-1)
19, tan0
23. tan" V3
24. sin
25. cos
26. sin
a Problems 27-38, use a calculator to find the value of each expression rounded to two decimal places.
28. cos 0.6
29. tan- 5
30. tan 0.2
A 27. sin 0.1
1
31. cos
8
32. sin-
8
33. tan (-0.4)
34. tan (-3)
V3
36. cos (-0.44)
37. cos-1 V2
3
3. sin (-0.12)
38. sin-
In Problems 39-58, find the exact value, if any, of each composite function. If there is no value, say it is "not defined." Do not use a
calculator.
\39. cos
40. sin
41. tan
42. sin
cos
sin
4, sin
45. tan tan
46, tan
tan
44. cos
47. cos
49. tan tan
50. tan
tan
48. sin
sin
\SL. sin sin
53. tan ( tan 14)
54. tan[ tan(-2)]
52. cos cos
A5s. cos(cos 1.2)
56. sin[ sin(-2)]
57. tan ( tan )
58. sin[ sin(-1.5)]
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.
59. f(x) = 5 sin x + 2; -
60. f(x) = 2 tan x - 3; -<x <
el. f(x) = -2 cos (3x);0 < x s
62. f(x) = 3 sin (2x);-*
4 fe) = -tan (x + 1) -33-1 - 꼭 <x<2 -1
64. f(x) = cos (x + 2) + 1; -2 SIST-2
>>
2. 7
3 3
6 fir) = 3 sin (2x + 1);--.
1
66. f(x) = 2 cos ( 3x + 2); –
* Problems 67-74, find the exact solution of each equation.
A0.4 sin'x T
69. 3 cos (2x) = 2m
68. 2 cosr = T
1. -6 sin (3x) = Ta
72. -4 tan x = 7
71. 3 tanx = T
13. 4 cos - 27 = 2 cosx
74. 5 sin-'x - 27 = 2 sin"x - 37](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe956b614-b01c-40ae-bdda-1eafe645cfbb%2F8993eb86-192f-43e9-8c87-12bf2f9f82e2%2Fj2xi0eq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SECTION 7.1 The Inverse Sine, Cosine, and Tangent Functions
451
Which of the following inequalities describes
where sin (sinx) = x?
(a) - 00 <x< 0
(a) f(x) = tan" (2x); -00 <r<o0
(b) f(x) = 2 tan x; -00 <r<0
(b) 0SIST
(d) -*5
(c) -1sxsI
4 Choose the inverse function f of
(c) f(x) =
tanx; -00<x< 00
2
(d) f(x) = tan
x): - 00 <x< 0
f(x) =
2 lan x,
Skill Building
Problems 15-26, find the exact value of each expression.
16. cos 1
17. sin (-1)
18. cos (-1)
\s sin 0
V2
21. sin
V3
22. tan
3
20. tan(-1)
19, tan0
23. tan" V3
24. sin
25. cos
26. sin
a Problems 27-38, use a calculator to find the value of each expression rounded to two decimal places.
28. cos 0.6
29. tan- 5
30. tan 0.2
A 27. sin 0.1
1
31. cos
8
32. sin-
8
33. tan (-0.4)
34. tan (-3)
V3
36. cos (-0.44)
37. cos-1 V2
3
3. sin (-0.12)
38. sin-
In Problems 39-58, find the exact value, if any, of each composite function. If there is no value, say it is "not defined." Do not use a
calculator.
\39. cos
40. sin
41. tan
42. sin
cos
sin
4, sin
45. tan tan
46, tan
tan
44. cos
47. cos
49. tan tan
50. tan
tan
48. sin
sin
\SL. sin sin
53. tan ( tan 14)
54. tan[ tan(-2)]
52. cos cos
A5s. cos(cos 1.2)
56. sin[ sin(-2)]
57. tan ( tan )
58. sin[ sin(-1.5)]
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.
59. f(x) = 5 sin x + 2; -
60. f(x) = 2 tan x - 3; -<x <
el. f(x) = -2 cos (3x);0 < x s
62. f(x) = 3 sin (2x);-*
4 fe) = -tan (x + 1) -33-1 - 꼭 <x<2 -1
64. f(x) = cos (x + 2) + 1; -2 SIST-2
>>
2. 7
3 3
6 fir) = 3 sin (2x + 1);--.
1
66. f(x) = 2 cos ( 3x + 2); –
* Problems 67-74, find the exact solution of each equation.
A0.4 sin'x T
69. 3 cos (2x) = 2m
68. 2 cosr = T
1. -6 sin (3x) = Ta
72. -4 tan x = 7
71. 3 tanx = T
13. 4 cos - 27 = 2 cosx
74. 5 sin-'x - 27 = 2 sin"x - 37
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