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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Inverse sin (4) =
![The image displays a mathematical expression written as:
\[ \sin^{-1}(4) = \]
This expression involves the inverse sine function, denoted as \(\sin^{-1}\) or arcsin. However, it's important to note that the sine function, \(\sin(x)\), has a range of [-1, 1]. Therefore, \(\sin^{-1}(4)\) is undefined because 4 is outside the range of possible sine values.
In mathematical contexts, the inverse sine function returns an angle whose sine is a given number, but only if that number lies within the range -1 to 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1084343a-124a-4396-a7c9-7606a10426fa%2Fd2267b77-560c-4c7e-86b2-21dba739063f%2F2crdwwdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image displays a mathematical expression written as:
\[ \sin^{-1}(4) = \]
This expression involves the inverse sine function, denoted as \(\sin^{-1}\) or arcsin. However, it's important to note that the sine function, \(\sin(x)\), has a range of [-1, 1]. Therefore, \(\sin^{-1}(4)\) is undefined because 4 is outside the range of possible sine values.
In mathematical contexts, the inverse sine function returns an angle whose sine is a given number, but only if that number lies within the range -1 to 1.
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