Consider the multivalued function for ���-1� given in Eq. sin-'z=-ilog(zi+(l-z ) ). Show that if � is a real number satisfying -1≤�≤1, then all possible branches of this function yield a real value for the inverse sine of �.

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