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 *.bbl
 *.blg
 *.docx
+.~lock.*.od*#
diff --git a/fiz/vaje/1.ods b/fiz/vaje/1.ods
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diff --git a/mat/trigonometrija.tex b/mat/trigonometrija.tex
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+% do-vimlatex-onwrite
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{siunitx}
+\usepackage[slovene]{babel}
+\usepackage[inline]{enumitem}
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{hologo}
+\usepackage[hidelinks,unicode]{hyperref}
+\usepackage{datetime}
+\usepackage{tkz-euclide}
+\usepackage{amssymb}
+\usepackage{multicol}
+% \sisetup{output-decimal-marker = {,}, quotient-mode=fraction, per-mode=fraction}	% frac način
+% \sisetup{output-decimal-marker = {,}, quotient-mode=fraction, per-mode=symbol}	% poševnica način
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction}				% na -1 način
+\settimeformat{hhmmsstime}
+\newcommand{\razhroscevanje}{0}
+\newcommand{\razhroscevanjeg}{0} % grafično razhroščevanje
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+	\ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+	\or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+	\or t\or u\or v\or z\or \v{z}
+	\else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\title{Trigonometrične formule}
+\author{Anton Luka Šijanec, 3. a}
+\begin{document}
+\maketitle
+% \begin{abstract}
+% Spisek izbranih trigonometričnih izrekov bom kot pripomoček imel na drugem testu pri matematiki v tretjem letniku.
+% \end{abstract}
+% \tableofcontents
+\begin{multicols}{2}
+	\begin{tabular}{|c|c|c|c|c|}
+		\hline
+		$\measuredangle$	& $\sin$		& $\cos$		& $\tan$		& $\cot$		\\
+		\hline
+		$\ang{30}$		& 0			& 1			& 0			& ne obstaja		\\
+		\hline
+		$\ang{45}$		& $\frac{1}{2}$	& $\frac{\sqrt{3}}{2}$	& $\frac{\sqrt{3}}{2}$	& $\sqrt{3}$		\\
+		\hline
+		$\ang{60}$		& $\frac{\sqrt{3}}{2}$	& $\frac{1}{2}$		& $\sqrt{3}$		& $\frac{\sqrt{3}}{3}$	\\
+		\hline
+		$\ang{90}$		& 1			& 0			& ne obstaja		& 0			\\
+		\hline
+	\end{tabular}
+	$$\sin^2\alpha+\cos^2\alpha=1$$
+	$$\sin\alpha=\pm\sqrt{1-\cos^2\alpha}$$
+	$$\cos\alpha=\pm\sqrt{1-\sin^2\alpha}$$
+	$\sin, \tan, \cot$ so lihe, $\cos$ je soda.
+	$$\sin\left(-\alpha\right)=-\sin\alpha$$
+	$$\cos\left(-\alpha\right)=\cos\alpha$$
+	$$\sin\left(\frac{\pi}{2}-\alpha\right)=\cos\alpha$$
+	$$\cos\left(\frac{\pi}{2}-\alpha\right)=\sin\alpha$$
+	$$\tan\left(\frac{\pi}{2}-\alpha\right)=\cot\alpha$$
+	$$\sin\left(\alpha\pm\beta\right)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$$
+	$$\cos\left(\alpha\pm\beta\right)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta$$
+	$$\tan\left(\alpha\pm\beta\right)=\frac{\tan\alpha\pm\tan\beta}{1\mp\tan\alpha\tan\beta}$$
+	$$\cot\left(\alpha\pm\beta\right)=\frac{\cot\alpha\cot\beta\mp1}{\cot\beta\pm\cot\alpha}$$
+	$$\sin2\alpha=2\sin\alpha\cos\alpha$$
+	$$\cos2\alpha=cos^2\alpha-\sin^2\alpha=2\cos^2\alpha-1=1-2\sin^2\alpha$$
+	$$\tan2\alpha=\frac{2\tan\alpha}{1-\tan^2\alpha}$$
+	$$\cot2\alpha=\frac{\cot^2\alpha-1}{2\cot\alpha}$$
+	$$\sin3\alpha=3\sin\alpha-4\sin^3\alpha=4\sin\left(\frac{\pi}{3}-\alpha\right)\sin\left(\frac{\pi}{3}+\alpha\right)$$
+	$$\cos3\alpha=4\cos^3\alpha-3\cos\alpha=4\cos\alpha\cos\left(\frac{\pi}{3}-\alpha\right)\cos\left(\frac{\pi}{3}+\alpha\right)$$
+	$$\tan3\alpha=\frac{3\tan\alpha-\tan^3\alpha}{1-3\tan^2\alpha}=\tan\alpha\tan\left(\frac{\pi}{3}-\alpha\right)\tan\left(\frac{\pi}{3}+\alpha\right)$$
+	$$\sin\frac{\alpha}{2}=\pm\sqrt{\frac{1-\cos\alpha}{2}}$$
+	$$\cos\frac{\alpha}{2}=\pm\sqrt{\frac{1+\cos\alpha}{2}}$$
+	$$\tan\frac{\alpha}{2}=\pm\sqrt{\frac{1+\cos\alpha}{1-\cos\alpha}}=\frac{\sin\alpha}{1+\cos\alpha}$$
+	$$2\cos\alpha\cos\beta=\cos\left(\alpha-\beta\right)+\cos\left(\alpha+\beta\right)$$
+	$$2\sin\alpha\sin\beta=\pm\cos\left(\alpha\pm\beta\right)-\cos\left(\alpha\mp\beta\right)$$
+	$$2\sin\alpha\cos\beta=\sin\left(\alpha+\beta\right)+\sin\left(\alpha-\beta\right)$$
+	$$2\cos\alpha\sin\beta=\sin\left(\alpha+\beta\right)-\sin\left(\alpha-\beta\right)$$
+	$$\tan\alpha\tan\beta=1-\frac{\tan\alpha+\tan\beta}{\tan\left(\alpha+\beta\right)}=\frac{\cos\left(\alpha-\beta\right)-\cos\left(\alpha+\beta\right)}{\cos\left(\alpha-\beta\right)+\cos\left(\alpha+\beta\right)}$$
+	$$\sin\alpha\pm\sin\beta=2\sin\left(\frac{\alpha\pm\beta}{2}\right)\cos\left(\frac{\alpha\mp\beta}{2}\right)$$
+	$$\cos\alpha+\cos\beta=2\cos\left(\frac{\alpha+\beta}{2}\right)\cos\left(\frac{\alpha-\beta}{2}\right)$$
+	$$\cos\alpha-\cos\beta=-2\sin\left(\frac{\alpha+\beta}{2}\right)\sin\left(\frac{\alpha-\beta}{2}\right)$$
+	$$\tan\alpha+\tan\beta=\frac{\sin\left(\alpha+\beta\right)}{\cos\alpha\cos\beta}$$
+	$$\sin\alpha\cos\alpha=\frac{1}{2}\sin2\alpha$$
+	$$2\cos^2\frac{\alpha}{2}=1+\cos\alpha$$
+	$$2\sin^2\frac{\alpha}{2}=1-\cos\alpha$$
+	$$\tan^2\frac{x}{2}=\frac{1-\cos\alpha}{1+\cos\alpha}$$
+	$$\cos\frac{\alpha}{2}=\pm\sqrt{\frac{1+\cos\alpha}{2}} \text{ in tako dalje}$$
+\end{multicols}
+\section{Zaključek}
+\hologo{LaTeX} izvorna koda dokumenta je objavljena na \url{https://git.sijanec.eu/sijanec/sola-gimb-3}. Za izdelavo dokumenta je potreben \texttt{TeXLive 2020}.
+\if\razhroscevanje1
+\vfill
+\section*{Razhroščevalne informacije}
+Konec generiranja dokumenta \today\ ob \currenttime.
+
+Dokument se je generiral R0qK1KR2 \SI{}{\second}. % aaasecgeninsaaa
+\fi
+\end{document}