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Consider the multivalued function for sin-1 z given in Eq. (3.7-2). 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 sin-1 z given in Eq. (3.7-2). 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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 57E
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Consider the multivalued function for sin-1 z given in Eq. (3.7-2). 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.
Transcribed Image Text:Consider the multivalued function for sin-1 z given in Eq. (3.7-2). 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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