\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{hotwire} \pdfinfo{ /Title (personal-math-26-unit-1.pdf) /Creator (Cheatography) /Author (hotwire) /Subject (Personal Math 26 Unit 1 Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{000000} \definecolor{LightBackground}{HTML}{F7F7F7} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Personal Math 26 Unit 1 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{hotwire} via \textcolor{DarkBackground}{\uline{cheatography.com/122871/cs/22996/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}hotwire \\ \uline{cheatography.com/hotwire} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 4th June, 2020.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{4} \begin{tabularx}{3.833cm}{x{1.27021 cm} x{2.16279 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Right Triangles}} \tn % Row 0 \SetRowColor{LightBackground} Properties of Triangles & (1) the sum of the angles equals 180° AND (2) the combined length of any two side exceeds that of the third side AND (3) larger angles are opposite larger sides \tn % Row Count 7 (+ 7) % Row 1 \SetRowColor{white} Area & (leg * leg) / 2 \tn % Row Count 8 (+ 1) % Row 2 \SetRowColor{LightBackground} Pythagorean Theorem & leg\textasciicircum{}2\textasciicircum{} + leg\textasciicircum{}2\textasciicircum{} = hypotenuse\textasciicircum{}2\textasciicircum{} \tn % Row Count 10 (+ 2) % Row 3 \SetRowColor{white} SOHCAHTOA & Sine Opposite Hypotenuse, Cosine Adjacent Hypotenuse, Tangent Opposite Adjecent \tn % Row Count 14 (+ 4) % Row 4 \SetRowColor{LightBackground} Special Triangles & angles = 45-45-90 OR 30-60-90 \tn % Row Count 16 (+ 2) % Row 5 \SetRowColor{white} 45-45-90 Triangle & (1) the two legs are equal AND (2) the hypotenuse is √2 times the length of either leg \tn % Row Count 20 (+ 4) % Row 6 \SetRowColor{LightBackground} 30-60-90 Triangle & (1) the longer leg is √3 times the length of the shorter leg AND (2) the hypotenuse is 2 times the length of the shorter leg \tn % Row Count 26 (+ 6) % Row 7 \SetRowColor{white} Acute Triangle & contains three acute angles \tn % Row Count 28 (+ 2) % Row 8 \SetRowColor{LightBackground} Obtuse Triangle & contains exactly one obtuse angle \tn % Row Count 30 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{x{1.27021 cm} x{2.16279 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Right Triangles (cont)}} \tn % Row 9 \SetRowColor{LightBackground} Equilateral Triangle & contains three side of equal length \tn % Row Count 2 (+ 2) % Row 10 \SetRowColor{white} Isosceles Triangle & contains two sides of equal length \tn % Row Count 4 (+ 2) % Row 11 \SetRowColor{LightBackground} Scalene Triangle & Contains no two sides are of the same length \tn % Row Count 6 (+ 2) % Row 12 \SetRowColor{white} Similar Triangles & when corresponding angles are equal, then corresponding sides are proportional \tn % Row Count 10 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{0.85825 cm} x{2.57475 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Circles}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Circumference} & π * Diameter \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{Circumference} & 2 {\emph{ π }} Radius \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Area & πr\textasciicircum{}2\textasciicircum{} \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} Radian & the length of the arc on the unit circle \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} & 180° = π radians \tn % Row Count 8 (+ 1) % Row 5 \SetRowColor{white} & 1° = π/180 \tn % Row Count 9 (+ 1) % Row 6 \SetRowColor{LightBackground} & (degrees) π/180 = radians \tn % Row Count 10 (+ 1) % Row 7 \SetRowColor{white} Unit Circle & has a radius of 1 and centered on a coordinate plane \tn % Row Count 12 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{2.23145 cm} x{1.20155 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Square Roots √}} \tn % Row 0 \SetRowColor{LightBackground} Quotient Property of Square Roots & √a/√b = √a/b \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{3.833cm}}{√1/4 = 1/2} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} √-x & not a real number \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} -√x & real number \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}