Pre-Calculus

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Fields are an important algebraic...

Fields are an important algebraic structure, and complex numbers have that structure.

Task:

A. Let G be the set of the fifth roots of unity.

1. Use de Moivre’s formula to verify that the fifth roots of unity form a group under complex multiplication, showing all work.

2. Prove that G is isomorphic to Z5 under addition by doing the following:

a. State each step of the proof.

b. Justify each of your steps of the proof.

I am having a problem paying you for the other answer and I am hoping this works. I also want this one answered as well

Task:

A. Let G be the set of the fifth roots of unity.

1. Use de Moivre’s formula to verify that the fifth roots of unity form a group under complex multiplication, showing all work.

2. Prove that G is isomorphic to Z5 under addition by doing the following:

a. State each step of the proof.

b. Justify each of your steps of the proof.

I am having a problem paying you for the other answer and I am hoping this works. I also want this one answered as well

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