File:ComplexCircleNumbers.svg

Made using LaTex:

\documentclass{article}
\usepackage{cmbright} %font
\usepackage{amsmath}
\usepackage{tikz}     %for Vector Graphics written in tex
\begin{document}
	\begin{center}
	\begin{tikzpicture}
		\color{gray}
		\draw [->] (-2.2,0) -- (2.2,0)  node [at end, right] {\color{black}Re\{\}};
		\draw [->] (0,-2.2) -- (0,2.2)node [at end, left] {\color{black}Im\{\}};
		\color{black}
		\draw (0,0) circle [radius=2];
		\color{blue}
		\node at (2,0){\large $\times$};
		\node at (3.8,0){$
			\begin{matrix}
				(1,0)~0~0^\circ\\
				~2\pi~360^\circ
			\end{matrix}
		$};
		\node at (1.732,1){\large $\times$};
		\node at (3.732,0.8){$\left(\frac{\sqrt{3}}{2},j\frac{1}{2}\right)~\frac{\pi}{6}~30^\circ$};
		\node at (1.4142,1.4142){\large $\times$};
		\node at (3.4142,1.4142){$\left(\frac{\sqrt{2}}{2},j\frac{\sqrt{2}}{2}\right)~\frac{\pi}{4}~45^\circ$};
		\node at (1,1.732){\large $\times$};
		\node at (3,2){$\left(\frac{1}{2},j\frac{\sqrt{3}}{2}\right)~\frac{\pi}{3}~60^\circ$};
		\node at (0,2){\large $\times$};
		\node at (0,3){$\left(0,j\right)~\frac{\pi}{2}~90^\circ$};
		\node at (-1,1.732){\large $\times$};
		\node at (-3,2){$\left(-\frac{1}{2},j\frac{\sqrt{3}}{2}\right)~\frac{2\pi}{3}~120^\circ$};
		\node at (-1.4142,1.4142){\large $\times$};
		\node at (-3.4142,1.4142){$\left(-\frac{\sqrt{2}}{2},j\frac{\sqrt{2}}{2}\right)~\frac{3\pi}{4}~135^\circ$};
		\node at (-1.732,1){\large $\times$};
		\node at (-3.732,0.8){$\left(-\frac{\sqrt{3}}{2},j\frac{1}{2}\right)~\frac{5\pi}{6}~150^\circ$};
		\node at (-2,0){\large $\times$};
		\node at (-3.5,0){$(-1,j0)~\pi~180^\circ$};
		\node at (-1.732,-1){\large $\times$};
		\node at (-3.732,-0.8){$\left(-\frac{\sqrt{3}}{2},-j\frac{1}{2}\right)~\frac{7\pi}{6}~210^\circ$};
		\node at (-1.4142,-1.4142){\large $\times$};
		\node at (-3.4142,-1.4142){$\left(-\frac{\sqrt{2}}{2},-j\frac{\sqrt{2}}{2}\right)~\frac{5\pi}{4}~225^\circ$};
		\node at (-1,-1.732){\large $\times$};
		\node at (-3,-2){$\left(-\frac{1}{2},-j\frac{\sqrt{3}}{2}\right)~\frac{4\pi}{3}~240^\circ$};
		\node at (0,-2){\large $\times$};
		\node at (0,-3){$\left(0,-j\right)~\frac{3\pi}{2}~270^\circ$};
		\node at (1,-1.732){\large $\times$};
		\node at (3,-2){$\left(\frac{1}{2},-j\frac{\sqrt{3}}{2}\right)~\frac{5\pi}{3}~300^\circ$};
		\node at (1.4142,-1.4142){\large $\times$};
		\node at (3.4142,-1.4142){$\left(\frac{\sqrt{2}}{2},-j\frac{\sqrt{2}}{2}\right)~\frac{7\pi}{4}~315^\circ$};
		\node at (1.732,-1){\large $\times$};
		\node at (3.732,-0.8){$\left(\frac{\sqrt{3}}{2},-j\frac{1}{2}\right)~\frac{11\pi}{6}~330^\circ$};
		\node at (0,0){\large $
			\begin{matrix}
				\left(\cos(\alpha),\frac{1}{j}\sin(\alpha)\right)\\
				\alpha(\text{rad})\\
				\alpha(^\circ)
			\end{matrix}
		$};
	\end{tikzpicture}
	\end{center}
\end{document}

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