Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 70E
Related questions
Question
13,19,25 plz
![5. To find the inverse secant of a real number x, x 1,
In Problems 9-20, find the exact value of each expression.
Concepts and Vocabulary
SECTION 7.2 The Inverse Trigonometric Functions (Continued) 467
14 y = sec xif and only if
,where x
sys
and
y
6. True or False It is impossible to obtain exact values for the
inverse secant function.
7. True or False csc 0.5 is not defined.
8. True or False The domain of the inverse cotangent function
is the set of real numbers.
anvert the inverse secant to an inverse
Skill Building
9. cot- V3
10. cot 1
13. sec-1 2V3
3
11. csc (-1)
14. sec(-2)
12. csc V2
15. cot
2V3
17. sec(-V2)
Boblems 21-32, use a calculator to find the approximate value of each expression rounded to two decimal places.
18. cot(-1)
16. csc
19. csc-" (– V2)
20. sec-1
\ 21. sec- 4
San od bi 22. csc-1 5
23. cot" 2
24. sec""(-3)
25. csc-(-3)
ogw. or
26. cot-
27. cot(-V5)
28. cot (-8.1)
o ()
ollo
29. csc
30. sec
31. cot(-)
32. cot (-V10)
In Problems 33–60, find the exact value of each expression.
net
\ 33. cos sin
34. sin cos
35. tan cos
36. tan sin
37. sec cos
-1
38. cot sin
ometric Eo
AD2U ot
39. csc ( tan 1)
40. sec( tan V3)
ther
41. sin[ tan1(-1)]
42. cos
43. sec sin
44. csc cos
57
45. cos sin
bns 46. tan
27 o c
cot
heb48. cos
47. sin
0s lo u
o ai ovig onin
50, tan cos
49. tan sin-
51. sec tan
52. cos sin!
l In
55. sin [ tan (-3)]
53. cot sin
54. csc[ tan (-2)]
56. cot cos
57. sec sin
59. sin
60. cos
sin
cos
58. csc tan
In Problems 61-70, write each trigonometric expression as an algebraic expression in u.
62. sin (cos u) 63. tan (sin u)
64. tan (cos u)
65. sin (sec-l u)
61. cos (tan u)
69. tan(cot u)
70. tan (sec u)
66. sin (cot¬1 u)
67. cos (cscu)a ba 68. cos (sec u)
<x<.Find the
2
,--s**(x) = cos x, 0 < x < m; and h(x) = tan x,
Mixed Practice In Problems 71–82, f(x)
exact value of each composite function.
73. g
74. f
71. g
72.
ne pop 78. f()
77.
75.
76.
82. h
81.
79.
80. g
oniglem iei boo
Beca
cinde](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5c5639a-128b-4f5b-879d-d708c8247f59%2F8aec317c-ca48-4b15-a838-7708173c0403%2Ff8g18qb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. To find the inverse secant of a real number x, x 1,
In Problems 9-20, find the exact value of each expression.
Concepts and Vocabulary
SECTION 7.2 The Inverse Trigonometric Functions (Continued) 467
14 y = sec xif and only if
,where x
sys
and
y
6. True or False It is impossible to obtain exact values for the
inverse secant function.
7. True or False csc 0.5 is not defined.
8. True or False The domain of the inverse cotangent function
is the set of real numbers.
anvert the inverse secant to an inverse
Skill Building
9. cot- V3
10. cot 1
13. sec-1 2V3
3
11. csc (-1)
14. sec(-2)
12. csc V2
15. cot
2V3
17. sec(-V2)
Boblems 21-32, use a calculator to find the approximate value of each expression rounded to two decimal places.
18. cot(-1)
16. csc
19. csc-" (– V2)
20. sec-1
\ 21. sec- 4
San od bi 22. csc-1 5
23. cot" 2
24. sec""(-3)
25. csc-(-3)
ogw. or
26. cot-
27. cot(-V5)
28. cot (-8.1)
o ()
ollo
29. csc
30. sec
31. cot(-)
32. cot (-V10)
In Problems 33–60, find the exact value of each expression.
net
\ 33. cos sin
34. sin cos
35. tan cos
36. tan sin
37. sec cos
-1
38. cot sin
ometric Eo
AD2U ot
39. csc ( tan 1)
40. sec( tan V3)
ther
41. sin[ tan1(-1)]
42. cos
43. sec sin
44. csc cos
57
45. cos sin
bns 46. tan
27 o c
cot
heb48. cos
47. sin
0s lo u
o ai ovig onin
50, tan cos
49. tan sin-
51. sec tan
52. cos sin!
l In
55. sin [ tan (-3)]
53. cot sin
54. csc[ tan (-2)]
56. cot cos
57. sec sin
59. sin
60. cos
sin
cos
58. csc tan
In Problems 61-70, write each trigonometric expression as an algebraic expression in u.
62. sin (cos u) 63. tan (sin u)
64. tan (cos u)
65. sin (sec-l u)
61. cos (tan u)
69. tan(cot u)
70. tan (sec u)
66. sin (cot¬1 u)
67. cos (cscu)a ba 68. cos (sec u)
<x<.Find the
2
,--s**(x) = cos x, 0 < x < m; and h(x) = tan x,
Mixed Practice In Problems 71–82, f(x)
exact value of each composite function.
73. g
74. f
71. g
72.
ne pop 78. f()
77.
75.
76.
82. h
81.
79.
80. g
oniglem iei boo
Beca
cinde
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