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Let z = e2? i /n. Then zn = 1, and z is called an nth root of unity. There are n nth roots of unity, equispaced around the unit circle; they have the form z = e2? i (k/n), where k = 0, 1, 2,   , n−1. Of course 1 is an nth root of unity, for every n. Draw the unit circle for the four 4th roots of unity. The angle difference (in radians) between adjacent 4th roots is Draw the unit circle for the six 6th roots of unity. The angle difference (in radians) between adjacent 6th roots is Draw the unit circle for the eight 8th roots of unity. The angle difference (in radians) between adjacent 8th roots is

Let z = e2? i /n. Then zn = 1, and z is called an nth root of unity. There are n nth roots of unity, equispaced around the unit circle; they have the form z = e2? i (k/n), where k = 0, 1, 2,   , n−1. Of course 1 is an nth root of unity, for every n. Draw the unit circle for the four 4th roots of unity. The angle difference (in radians) between adjacent 4th roots is Draw the unit circle for the six 6th roots of unity. The angle difference (in radians) between adjacent 6th roots is Draw the unit circle for the eight 8th roots of unity. The angle difference (in radians) between adjacent 8th roots is

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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Let z = e2? i /n. Then zn = 1, and z is called an nth root of unity. There are n nth roots of unity,
equispaced around the unit circle; they have the form z = e2? i (k/n), where k = 0, 1, 2,   , n−1.
Of course 1 is an nth root of unity, for every n.

Draw the unit circle for the four 4th roots of unity.
The angle difference (in radians) between adjacent 4th roots is


Draw the unit circle for the six 6th roots of unity.
The angle difference (in radians) between adjacent 6th roots is


Draw the unit circle for the eight 8th roots of unity.
The angle difference (in radians) between adjacent 8th roots is

 
 
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