Pre-Calc Graphing with Complex numbers. Multiplying with complex numbers.

**Sconts** · May 23rd 2007, 07:14 PM

One question I need help with.

If z=cisθ = r(cosθ + isinθ), show that (1/z) = (1/r)cis(-θ)

**Plato** · May 24th 2007, 03:49 AM

You can use the following facts to prove it.
$\begin{array}{l}<br /> z = r\left[ {cis\left( \theta \right)} \right] \\ <br /> \bar z = r\left[ {cis\left( { - \theta } \right)} \right] \\ <br /> \end{array}$

$\frac{1}{z} = \frac{{\bar z}}{{\left| z \right|^2 }}$

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