Notation: sin L tan x= = arcsec x cot x = = arccos x = arccse x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 70E
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![Restricted Trigonometric Functions
(the domain is restricted so that the resulting functions are one-to-one, and
therefore, have an inverse)
11
0
0
y = sin x
Domain:
Range: [-1, 1]
sin x
cot x
I
2
y = cot x
Domain:
Range: (-00,00)
Notation:
sin¹ x =
tan¹ x =
X
77
1
X
= arcsec x
1
0
- it
1
cos x
y =
Domain: [0, 1]
Range: [-1, 1]
0
-17
T
2
sec x
+
Domain: [0, /2) U (-/2, m
Range: (-∞, -1] U [1, ∞)
cot¹ x =
= arccos x
= arccse x
y
0
tan x
y = tan x
Domain: (-/2, /2)
Range:
0
IF
CSC X
y = CSC x
Domain: [-/2,0) u (0, /2]
Range:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d409dbe-0069-4bdd-acc1-9391e01545d6%2Fccd3909a-cdef-4187-8446-da0a504ef4f2%2F6rumxwf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Restricted Trigonometric Functions
(the domain is restricted so that the resulting functions are one-to-one, and
therefore, have an inverse)
11
0
0
y = sin x
Domain:
Range: [-1, 1]
sin x
cot x
I
2
y = cot x
Domain:
Range: (-00,00)
Notation:
sin¹ x =
tan¹ x =
X
77
1
X
= arcsec x
1
0
- it
1
cos x
y =
Domain: [0, 1]
Range: [-1, 1]
0
-17
T
2
sec x
+
Domain: [0, /2) U (-/2, m
Range: (-∞, -1] U [1, ∞)
cot¹ x =
= arccos x
= arccse x
y
0
tan x
y = tan x
Domain: (-/2, /2)
Range:
0
IF
CSC X
y = CSC x
Domain: [-/2,0) u (0, /2]
Range:
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