All elements of the subgroup 〈 a 〉 , where a = cos 2 π 3 + i sin 2 π 3 in U 6 .

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Answer 1

Question

Chapter 7.3, Problem 11E

(a)

To determine

All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(b)

To determine

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(c)

To determine

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

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2.8.1

Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00

Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to mary

Answer 2

Question

Chapter 7.3, Problem 11E

(a)

To determine

All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(b)

To determine

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(c)

To determine

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

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Answer 3

Question

Chapter 7.3, Problem 11E

(a)

To determine

All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(b)

To determine

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(c)

To determine

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

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Answer 4

Question

Chapter 7.3, Problem 11E

(a)

To determine

All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(b)

To determine

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(c)

To determine

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Expert Solution & Answer

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Answer 5

Chapter 7.3, Problem 11E

(a)

To determine

All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(b)

To determine

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

(c)

To determine

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Answer 6

Chapter 7.3, Problem 11E

(a)

To determine

All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Answer 7

Chapter 7.3, Problem 11E

(a)

To determine

All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Answer 8

(b)

To determine

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Answer 9

(b)

To determine

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Answer 10

(c)

To determine

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Answer 11

(c)

To determine

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

All elements of the subgroup 〈 a 〉 , where a = cos 2 π 3 + i sin 2 π 3 in U 6 .

Solution Summary: The author explains De Moivre’s Theorem: If n is a positive integer and z=r(mathrmcos2pi

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All elements of the subgroup $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

The order of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

The generators of $〈a〉$ , where $a=cos 2π3+i sin 2π3$ in $U6$ .

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