Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
I need help with 4b
![8)]
4. Draw a careful graph of each function and describe its properties in detail.
a. y = 2 tan nx
b. y = 6 csc()+3
C. y= sin-1x
d. y = cos-1x
5. Find the exact value of each expression. Express all angle measures in Radians. Explain or show work
leading to each answer. (Include triangles and unit circles.)
* (cos)
a. sin-1
е.
COs-1
b. tan-(V3)
f.
Cos ( sin-1
g. tan (cos-1 ()
(sin )
C.
Cos-1
COS
d. sin (sin- ()
h. cos-1
6. When defining the inverse sine function, the domain of y = sin x is restricted to -<x<.
a. Why is restricting the domain of y = sin x to 0<x< not suitable for defining the inverse of the function?
b. What would be another acceptable way to restrict the domain of the inverse function?
Page
1
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a90df76-a5e1-49dd-bbd8-7947e4f45e6f%2Fa3e98a23-deb9-4de4-af4b-72b5c42e31e7%2F3ydvyfp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8)]
4. Draw a careful graph of each function and describe its properties in detail.
a. y = 2 tan nx
b. y = 6 csc()+3
C. y= sin-1x
d. y = cos-1x
5. Find the exact value of each expression. Express all angle measures in Radians. Explain or show work
leading to each answer. (Include triangles and unit circles.)
* (cos)
a. sin-1
е.
COs-1
b. tan-(V3)
f.
Cos ( sin-1
g. tan (cos-1 ()
(sin )
C.
Cos-1
COS
d. sin (sin- ()
h. cos-1
6. When defining the inverse sine function, the domain of y = sin x is restricted to -<x<.
a. Why is restricting the domain of y = sin x to 0<x< not suitable for defining the inverse of the function?
b. What would be another acceptable way to restrict the domain of the inverse function?
Page
1
1
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