\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{Kait\_the\_grr8} \pdfinfo{ /Title (algebra-2.pdf) /Creator (Cheatography) /Author (Kait\_the\_grr8) /Subject (algebra 2 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}{666666} \definecolor{LightBackground}{HTML}{F5F5F5} \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{algebra 2 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Kait\_the\_grr8} via \textcolor{DarkBackground}{\uline{cheatography.com/21677/cs/4284/}}} \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}Kait\_the\_grr8 \\ \uline{cheatography.com/kait-the-grr8} \\ \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 12th 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{multicols*}{3} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Domain and Range}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Image could not be loaded.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Solving domain and range}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{y=x\textasciicircum{}2\textasciicircum{}+x-2/x\textasciicircum{}2\textasciicircum{}-x-2 \newline % Row Count 1 (+ 1) domain-{}-\textgreater{}{[}function{]}range-{}-\textgreater{}% Row Count 2 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Family function (transformation)}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{y=a`0` f(ax-h)-k \newline % Row Count 1 (+ 1) y=c is a horizontal line \newline % Row Count 2 (+ 1) y=x the pints on the graph have points (a,a) \newline % Row Count 3 (+ 1) y=x\textasciicircum{}2\textasciicircum{} graph is shaped like a U \newline % Row Count 4 (+ 1) y=x\textasciicircum{}3\textasciicircum{} graph is symmetrical about the origin \newline % Row Count 5 (+ 1) y=1/x graph has to branches \newline % Row Count 6 (+ 1) y=|x| graphed like a V \newline % Row Count 7 (+ 1) y={[}{[}x{]}{]} is greater than the integer less than or equal to x% Row Count 9 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Trigonometry}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent \newline % Row Count 2 (+ 2) Tan=Sin/Cos Sec=1/cos Csc=1/sin Cot=1/Tan or Cos/Sin% Row Count 4 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Log expanding and simplifying}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Log`b`(m\textasciicircum{}n\textasciicircum{})=n*Log`b`(m) \newline % Row Count 1 (+ 1) 1.) Multiply the inside log and turn into addition outside the log and vice verse \newline % Row Count 3 (+ 2) 2.)divide inside the log and turn into subtraction outside the log, vice versa \newline % Row Count 5 (+ 2) 3.)exponent on everything inside a log can be moves out in front as a multiplication, vice versa. \newline % Row Count 7 (+ 2) The Relationship: "logb(x) = y" means the same thing as "b y = x" \newline % Row Count 9 (+ 2) Logarithms are really exponents (powers); they're just written differently \newline % Row Count 11 (+ 2) logb(b) = 1, for any base b, because b1 = b \newline % Row Count 12 (+ 1) logb(1) = 0, for any base b, because b0 = . \newline % Row Count 13 (+ 1) logb(a) is undefined if a is negative \newline % Row Count 14 (+ 1) logb(0) is undefined for any base . \newline % Row Count 15 (+ 1) logb(bn) = n, for any base b% Row Count 16 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Unit Circle}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/kait-the-grr8_1433300842_unit circle.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Angle Difference and Sum}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{sin (A+B)=sin A cos B+ cos A sin B \newline % Row Count 1 (+ 1) cos (A+B)= cos A cos B-sin A sin B \newline % Row Count 2 (+ 1) tan (A+B)= tan A + tan B/ 1-tan A tan B \newline % Row Count 3 (+ 1) sin (A-B)=sin A cos B- cos A sin B \newline % Row Count 4 (+ 1) cos (A-B)= cos A cos B+sin A sin B \newline % Row Count 5 (+ 1) tan (A-B)= tan A - tan B/ 1+tan A tan B% Row Count 6 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}