# Math Help - opposite of a complex question..

1. ## opposite of a complex question..

$(\frac{1}{0.81e^{j0.27}})*$= $\frac{1}{0.81}e^{j0.27}$
why we can remove the constant?
why the conjugate of a complex number is multiplication of the angle by -1

2. Originally Posted by transgalactic
$(\frac{1}{0.81e^{j0.27}})*$= $\frac{1}{0.81}e^{j0.27}$
why we can remove the constant?
why the conjugate of a complex number is multiplication of the angle by -1

We can write $z=x+iy=|z|e^{i\theta}=|z|(\cos\theta+i\sin\theta)\ ,,\,\,\theta=\arg(z)=\arctan\left(\frac{y}{x}\righ t)$ $\Longrightarrow \overline{z}=|z|(\cos\theta-i\sin\theta)=|z|e^{-i\theta}$ , and that is why.

Tonio