\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{mattontiveros} \pdfinfo{ /Title (alg-2-final.pdf) /Creator (Cheatography) /Author (mattontiveros) /Subject (Alg 2 Final 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}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \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{Alg 2 Final Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{mattontiveros} via \textcolor{DarkBackground}{\uline{cheatography.com/21783/cs/4287/}}} \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}mattontiveros \\ \uline{cheatography.com/mattontiveros} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 3rd June, 2015.\\ Updated 13th May, 2016.\\ 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{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Exponential Form}} \tn \SetRowColor{white} \mymulticolumn{1}{x{17.67cm}}{y=ab\textasciicircum{}x\textasciicircum{}% Row Count 1 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{17.67cm}}{A change to x shifts the function +left or -right} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{To Eval Logs}} \tn \SetRowColor{white} \mymulticolumn{1}{x{17.67cm}}{Example: log(base 9)27 to.... 9\textasciicircum{}x\textasciicircum{}=27........ x=3/2% Row Count 2 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Example of Solving Exp Equations}} \tn \SetRowColor{white} \mymulticolumn{1}{x{17.67cm}}{7\textasciicircum{}3x\textasciicircum{}=20 to log7\textasciicircum{}3x\textasciicircum{}=log20.... divide both sides by 3log7...... get x=log20/3log7..... finally use the calculator to end.% Row Count 3 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Trig Identities}} \tn \SetRowColor{white} \mymulticolumn{1}{x{17.67cm}}{Image could not be loaded.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Half Angle Identities}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/mattontiveros_1433304470_download (1).png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Trig Identities and Unit Circle}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/mattontiveros_1433303583_1024px-Unit_circle_angles_color.svg.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Quadratic Formula}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/mattontiveros_1433305308_images.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Double Angle}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{17.67cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/mattontiveros_1433304333_download.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Note for Linear Modeling}} \tn \SetRowColor{white} \mymulticolumn{1}{x{17.67cm}}{Find line of best fit, f(x) is the prediction of that number plugged into formula.% Row Count 2 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Properties of Parabolas Note}} \tn \SetRowColor{white} \mymulticolumn{1}{x{17.67cm}}{Find AOS first; x=number of AOS% Row Count 1 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{17.67cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{17.67cm}}{\bf\textcolor{white}{Identities}} \tn \SetRowColor{white} \mymulticolumn{1}{x{17.67cm}}{cscx= 1/sinx \newline % Row Count 1 (+ 1) secx=1/cosx \newline % Row Count 2 (+ 1) cotx=1/tanx \newline % Row Count 3 (+ 1) tanx=sinx/cosx \newline % Row Count 4 (+ 1) cotx=cosx/sinx% Row Count 5 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \end{document}