Consider the multivalued function for inverse sine of z. given in Eq. sin^(-1) z=-ilog(zi+(1-z^ 2)^(1/2 ). Show that if z is a real number satisfying -1≤z≤1, then all possible branches of this function yield a real value for the inverse sine of z.
Consider the multivalued function for inverse sine of z. given in Eq. sin^(-1) z=-ilog(zi+(1-z^ 2)^(1/2 ). Show that if z is a real number satisfying -1≤z≤1, then all possible branches of this function yield a real value for the inverse sine of z.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 2DE
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Consider the multivalued function for inverse sine of z. given in Eq. sin^(-1) z=-ilog(zi+(1-z^ 2)^(1/2 ). Show that if z is a real number satisfying -1≤z≤1, then all possible branches of this function yield a real value for the inverse sine of z.
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