How can one draw an Argand diagram of roots in LaTeX?

Question

How can I draw an Argand diagram in LaTeX? If you would like an example of the sort of diagram I'd like to draw in LaTeX here is one a DuckDuckGo search found me: http://physicsforidiots.com/wp/wp-content/uploads/2014/07/5throot6.jpg. The only differences between that and what I want is I want the lines connecting the roots and the origin to be dotted, I would like r and theta not to be shown or labelled and I do not want the colour yellow to appear in the diagram at all. I have seen this related question, Drawing a circle in the complex plane., but it didn't include any information about labelling points on the circle, or connecting them to the origin.

Answer 1

Here is a simple solution based on pstricks:

\documentclass[border=6pt, svgnames]{standalone}%
\usepackage{sansmath}
\usepackage{pst-eucl}

\begin{document}

\begin{pspicture*}(-3.5,-3)(6.5,3)
\sansmath $ \everypsbox{\scriptstyle}
\psset{dash =2.5pt 2pt}
\psaxes[ticks=none, labels=none](0,0)(-3.5,-3)(6.5,3)
\psline[linecolor=white, linewidth=1pt](0,0)(1.43,0)
\pnode(0,0){O}\psdot(6,0) \uput[d](6,0){6}
\psset{fillstyle=solid}
\pswedge[linestyle=none, fillcolor=Yellow!40](O){1.43}{0}{72}
\pscircle[fillstyle=none](O){1.43}
\multido{\Iangle=0+72,\i=0+1}{5}{\dotnode[dotstyle=o, dotsize=3.5pt, fillcolor=cyan](1.43;\Iangle){A\i}%
\ncline[linestyle=dashed, linewidth=0.5pt, nodesepB=1.5pt]{O}{A\i}}
\pstMarkAngle[linewidth=0.5pt, fillcolor=white, LabelSep=0.55]{A0}{O}{A1}{\theta}
\uput[dr](A0){1.43}
\uput[r](A1){0.44+1.36\mathsf{i}}
\uput[ul](A2){-1.16+0.84\mathsf{i}}
\uput[ul](A3){-1.16-0.84\mathsf{i}}
\uput[dr](A4){0.44-1.36\mathsf{i}}$
\end{pspicture*}

\end{document}