\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{Edukatte (Edukatte TT)} \pdfinfo{ /Title (csec-additional-mathematic-formulae.pdf) /Creator (Cheatography) /Author (Edukatte (Edukatte TT)) /Subject (CSEC Additional Mathematic Formulae 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}{318D57} \definecolor{LightBackground}{HTML}{F2F7F4} \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{CSEC Additional Mathematic Formulae Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Edukatte (Edukatte TT)} via \textcolor{DarkBackground}{\uline{cheatography.com/162224/cs/34341/}}} \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}Edukatte (Edukatte TT) \\ \uline{cheatography.com/edukatte-tt} \\ \uline{\seqsplit{edukatte}.netlify.app/} \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 6th May, 2023.\\ 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{1.75083 cm} x{1.68217 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{QUADRATICS}} \tn % Row 0 \SetRowColor{LightBackground} Quadratic Function & Completing Square \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} ax\textasciicircum{}2\textasciicircum{}+bx+c & a(x + h)\textasciicircum{}2\textasciicircum{} + k \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} & k + a(x+h)\textasciicircum{}2\textasciicircum{} \tn % Row Count 3 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{LOGARITHMS}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{log\_a (PQ) = log\_a(P) + log\_a(Q)} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{log\_a (P/Q) = log\_a(P) - log\_a(Q)} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{log\_a P\textasciicircum{}b\textasciicircum{} = b log\_a P} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{log\_a a = 1} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{log\_a 1 = 0} \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.40753 cm} x{2.02547 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{SERIES \& SEQUECES}} \tn % Row 0 \SetRowColor{LightBackground} Arithmetic Progression & Geometric Progression \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} T\_n = a + (n - 1)d & T\_n = ar\textasciicircum{}n - 1\textasciicircum{} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} S\_n = n/2 (a + l) & S\_n = a(r\textasciicircum{}n\textasciicircum{} - 1)/r - 1 for |r|\textgreater{}1 \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} S\_n = n/2 \{a + (n - 1)d\} & S\_n = a( 1 - r\textasciicircum{}n\textasciicircum{})/1 - r for |r|\textless{}1 \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} & S\_∞= a/1 - r \tn % Row Count 9 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{COORDINATE GEOMETRY OF A LINE}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Length of Line:} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Midpoint of a Line:} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Gradient of a Line:} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Gradient of a Perpendicular Line:} \tn % Row Count 4 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.81949 cm} x{1.61351 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{CIRCLES}} \tn % Row 0 \SetRowColor{LightBackground} Equation of a Circle & Radius of a Circle \tn % Row Count 1 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{VECTORS}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{SECTORS \& ARCS}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{TRIG IDENTITIES}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{COMPOUND ANGLE FORMULAE}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{DOUBLE ANGLE FORMULAE}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.3433 cm} p{0.3433 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{DIFFERENTIATION}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.3433 cm} p{0.3433 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{INTEGRATION}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.3433 cm} p{0.3433 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{STATISTICS}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.3433 cm} p{0.3433 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{PROBABILITY}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.3433 cm} p{0.3433 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{KINEMATICS}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{3.833cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}