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5.21. Using the definition of the arcsecant function from Problem 51, for what values of x is it true that (a) sec (arcsec x) = x and (b) arcsec (sec x) = x? For reference: 51. One definition of the arcsecant function is y = arcsecx(or y = sec"x) if and only if x = sec y, where 0 s ySn and y 7/2. (See Problem 52 for an alternative definition.) Graph y = arcsec x, and give the domain and the range of this function. %3D

5.21. Using the definition of the arcsecant function from Problem 51, for what values of x is it true that (a) sec (arcsec x) = x and (b) arcsec (sec x) = x? For reference: 51. One definition of the arcsecant function is y = arcsecx(or y = sec"x) if and only if x = sec y, where 0 s ySn and y 7/2. (See Problem 52 for an alternative definition.) Graph y = arcsec x, and give the domain and the range of this function. %3D

Calculus: Early Transcendentals
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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5.21. Using the definition of the arcsecant function from Problem 51, for what values of x is it true that (a) sec (arcsec x) = x and (b) arcsec (sec x) = x? For reference: 51. One definition of the arcsecant function is y = arcsecx(or y = sec-'x) if and only if x = secy, where 0s yST and y + w/2. (See Problem 52 for an alternative definition.) Graph y = arcsecx, and give the domain and the range of this function. %3D
Transcribed Image Text:5.21. Using the definition of the arcsecant function from Problem 51, for what values of x is it true that (a) sec (arcsec x) = x and (b) arcsec (sec x) = x? For reference: 51. One definition of the arcsecant function is y = arcsecx(or y = sec-'x) if and only if x = secy, where 0s yST and y + w/2. (See Problem 52 for an alternative definition.) Graph y = arcsecx, and give the domain and the range of this function. %3D
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