SOLUTION: The complex numbers z and w satisfy |z| = |w| = 1 and zw is not equal to -1. (a) Prove that \overline{z} = {1}/{z} and \overline{w} = {1}/{w}.

SOLUTION: The complex numbers z and w satisfy |z| = |w| = 1 and zw is not equal to -1. (a) Prove that \overline{z} = {1}/{z} and \overline{w} = {1}/{w}.

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Question 1171500: The complex numbers z and w satisfy |z| = |w| = 1 and zw is not equal to -1.
(a) Prove that \overline{z} = {1}/{z} and \overline{w} = {1}/{w}.
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

Let

where

and

.

.

by definition.

Same logic for

John

My calculator said it, I believe it, that settles it

From
I > Ø

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