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$\begingroup$

Show that:

|z|=1 if and only if 1/z=z bar (z bar is the complex conjugate)

I have:

|1/z|*|z|=|(1/z)*z|=|1|=1

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    Hint: $|z|^2=z \bar z\,$.2017-02-01
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    thanks for the hint, I can give you credit if you write a response2017-02-01
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    Thanks, but that was just a hint. Instead, I'd be happy to give *you* a +1 if you wrote a full answer (yes, it's perfectly acceptable around here to post an answer to one's own question).2017-02-01
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    It was really easy after your hint and I'm so exhausted haha, thanks again.2017-02-01

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