Let = e²i/n be an n-th root of unity. Show that (k(1-n) Resck (27²1) n for all 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 57E
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Let = e²i/n be an n-th root of unity. Show that
1
Resck
• (N=²7) = {(k-1)
n
for all 0 <k <n-1.
Transcribed Image Text:Let = e²i/n be an n-th root of unity. Show that 1 Resck • (N=²7) = {(k-1) n for all 0 <k <n-1.
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