List the elements of the coset al 4 formed by the π element α = (cos (7/7) COS + isin (#)) . Also, list the elements of this coset on the circle (C1-2)shown below. Is a 14 a subgroup of the multiplicative group of non-zero complex numbers? C1-2 -0.5 0.8+ 0.6- 0.4- 0.2- -0.2- -0.4- -0.6+ -0.8- 0.5 (1,0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 15E
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List the elements of the coset al 4 formed by the
π
element α =
(cos (7/7)
COS + isin
(#)) . Also, list the
elements of this coset on the circle (C1-2)shown
below. Is a 14 a subgroup of the multiplicative
group of non-zero complex numbers?
C1-2
-0.5
0.8+
0.6-
0.4-
0.2-
-0.2-
-0.4-
-0.6+
-0.8-
0.5
(1,0)
Transcribed Image Text:List the elements of the coset al 4 formed by the π element α = (cos (7/7) COS + isin (#)) . Also, list the elements of this coset on the circle (C1-2)shown below. Is a 14 a subgroup of the multiplicative group of non-zero complex numbers? C1-2 -0.5 0.8+ 0.6- 0.4- 0.2- -0.2- -0.4- -0.6+ -0.8- 0.5 (1,0)
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