\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{dontwanttofail}
\pdfinfo{
  /Title (trigonometry-basics.pdf)
  /Creator (Cheatography)
  /Author (dontwanttofail)
  /Subject (Trigonometry Basics 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}{C2C2C2}
\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{Trigonometry Basics Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{dontwanttofail} via \textcolor{DarkBackground}{\uline{cheatography.com/207014/cs/44314/}}}
\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}dontwanttofail \\
  \uline{cheatography.com/dontwanttofail} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 5th September, 2024.\\
   Updated 5th September, 2024.\\
   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}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Sign in quadrants}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/dontwanttofail_1725523099_N1303-Signs-in-Quadrants-300x252.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Unit circle}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/dontwanttofail_1725522996_Unit-Circle-Chart.jpg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.61351 cm} x{1.81949 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Formulas}}  \tn
% Row 0
\SetRowColor{LightBackground}
Arc length & S=rθ \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Area of a sector & A=1/2r\textasciicircum{}2\textasciicircum{}θ \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Linear speed & V=s/t=rθ/t={\bf{rw}} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Angular speed & w=θ/t \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
R & r=√x\textasciicircum{}2\textasciicircum{} + y\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 5 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Unit circle trig functions}}  \tn
% Row 0
\SetRowColor{LightBackground}
Sin θ=y/r & Csc θ=r/y \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Cos θ=x/r & Sec θ=r/x \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Tan θ=y/x & Cot θ=x/y \tn 
% Row Count 3 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{p{0.78959 cm} x{2.64341 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Degrees}}  \tn
% Row 0
\SetRowColor{LightBackground}
Acute & Less than 90 \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Right & 90 \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Obtuse & More than 90, less than 180 \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Straight & 180 \tn 
% Row Count 4 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{SohCahToa Trig Functions}}  \tn
% Row 0
\SetRowColor{LightBackground}
Sinθ=opp/hyp & Cscθ=hyp/opp \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Cosθ=adj/hyp & Secθ=hyp/adj \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Tanθ=adj/opp & Cotθ=app/adj \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}{Pythagorean Theory}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Image could not be loaded.} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Unit circle θ}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/dontwanttofail_1725525335_chart-of-simplified-unit-circle-with-sin-cos-tan-sec-cot-cosec.jpg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.24353 cm} x{1.18287 cm} p{0.6066 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{3.833cm}}{\bf\textcolor{white}{Fundamental identities}}  \tn
% Row 0
\SetRowColor{LightBackground}
Reciprocal Identities & sinθ=1/csc & \seqsplit{cscθ=1/sin} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
 & cosθ=1/sec & \seqsplit{secθ=1/cos} \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
 & tanθ=1/cot & \seqsplit{cotθ=1/tan} \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
Pythagorean Identities & sin\textasciicircum{}2\textasciicircum{}θ + cos\textasciicircum{}2\textasciicircum{}θ=1 &  \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
 & 1+tan\textasciicircum{}2\textasciicircum{}θ=sec\textasciicircum{}2\textasciicircum{}θ &  \tn 
% Row Count 10 (+ 2)
% Row 5
\SetRowColor{white}
 & 1+cot\textasciicircum{}2\textasciicircum{}θ=csc\textasciicircum{}2\textasciicircum{}θ &  \tn 
% Row Count 12 (+ 2)
% Row 6
\SetRowColor{LightBackground}
Quotient Identities & \seqsplit{tanθ=sinθ/cosθ} &  \tn 
% Row Count 14 (+ 2)
% Row 7
\SetRowColor{white}
 & \seqsplit{cotθ=cosθ/sinθ} &  \tn 
% Row Count 16 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.78516 cm} x{1.64784 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Odd and Even Functions}}  \tn
% Row 0
\SetRowColor{LightBackground}
Odd & Even \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
sin(-t)=-sin t & cos(-t)=cos t \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
csc(-t)=-csc t & sec(-t)=sec t \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{2}{x{3.833cm}}{tan(-t)=-tan t} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{3.833cm}}{cot(-t)=-cot t} \tn 
% Row Count 5 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}