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## Homework Statement

i am supposed to prove that for the complex number z=cis[tex]\theta[/tex]

the conjugate is [tex]\frac{1}{\overline{z}}[/tex]

## Homework Equations

if

z=a+bi

[tex]\overline{z}[/tex]=a-bi

## The Attempt at a Solution

all that i can think of is that [tex]\frac{1}{cos\theta i sin \theta}[/tex]

=(cos [tex]\theta[/tex]

**i**sin [tex]\theta[/tex])

^{-1}

i have also just tried it with a random complex number such as w=2+3i

still how does [tex]\overline{w}[/tex]=1/2+3i ????

Im very lost.....