% Required to support mathematical unicode
\usepackage[warnunknown, fasterrors, mathletters]{ucs}

% Always typeset math in display style
\everymath{\displaystyle}

% Use a larger font size
\usepackage[fontsize=14pt]{scrextend}

% Standard mathematical typesetting packages
\usepackage{amsfonts, amsthm, amsmath, amssymb}
\usepackage{mathtools}  % Extension to amsmath

% Symbol and utility packages
\usepackage{cancel, textcomp}
\usepackage[mathscr]{euscript}
\usepackage[nointegrals]{wasysym}

% Extras
\usepackage{physics}
\usepackage{color}
\usepackage{microtype}
\usepackage{tikz-among-us}
\usepackage{tikzducks}
\usepackage{listings}
\usepackage{tcolorbox}

% Symbol packages
\usepackage{pifont}
\usepackage{gensymb}
\usepackage{pxfonts}
\usepackage{tikzsymbols}
\usepackage{romanbar}

% Diagrams
\usepackage{pgfplots}
\usepackage{tkz-euclide}
\usepackage{chemfig}
\usepackage{circuitikz}
\usepackage{tikz-cd}

% Common shortcuts
\def\mbb#1{\mathbb{#1}}
\def\mfk#1{\mathfrak{#1}}

\def\bN{\mbb{N}}
\def\bC{\mbb{C}}
\def\bR{\mbb{R}}
\def\bQ{\mbb{Q}}
\def\bZ{\mbb{Z}}

% Sometimes helpful macros
\newcommand{\func}[3]{#1\colon#2\to#3}
\newcommand{\vfunc}[5]{\func{#1}{#2}{#3},\quad#4\longmapsto#5}
\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
\newcommand{\ceil}[1]{\left\lceil#1\right\rceil}

% Some standard theorem definitions
\newtheorem{Theorem}{Theorem}
\newtheorem{Proposition}{Theorem}
\newtheorem{Lemma}[Theorem]{Lemma}
\newtheorem{Corollary}[Theorem]{Corollary}
\theoremstyle{definition}
\newtheorem{Definition}[Theorem]{Definition}

% Custom macros
\newcommand{\redB}{\colorbox{red}{\textcolor{white}{\sffamily{\textbf{\Large{B}}}}}}
\newcommand{\HypeTaco}{H\kern-0.1em\raisebox{0.3em}{\resizebox{0.5em}{!}{Y}}\kern-0.1emP\kern-0.175em\raisebox{-0.24em}{E}\kern-0.125emT\kern-0.2em\raisebox{0.3em}{\resizebox{0.5em}{!}{A}}\kern-0.15emC\kern-0.1em\raisebox{-0.24em}{O}}
\def\inv#1{\if-#1\else-#1\fi}
\newcommand{\quadform}[4][\pm]{\frac{\inv{#3} #1 \sqrt{\left(#3\right)^2 -4\left(#2\right)\left(#4\right)}}{2 \left(#2\right)}}
\newcommand{\dvrules}{Power Rule $$\dv{x}x^n=nx^{n-1}$$ Product Rule $$\dv{x}f(x)\cdot g(x)=f'(x)\cdot g(x)+f(x)\cdot g'(x)$$ Quotient Rule $$\dv{x}\frac{f(x)}{g(x)}=\frac{g(x)\cdot f'(x)-g'(x)\cdot f(x)}{(g(x))^2}$$ Chain Rule $$\dv{x}f(g(x))=f'(g(x))\cdot g'(x)$$}

\newcommand{\secsub}{\begin{tikzpicture}[thick]
\node at (-2,2.5) {sec sub};
\coordinate (O) at (0,0);
\coordinate (A) at (-4,0);
\coordinate (B) at (0,2);
\draw (O)--(A)--(B)--cycle;
\tkzLabelSegment[below=2pt](O,A){$a$}
\tkzLabelSegment[right=2pt](O,B){$\sqrt{x^2-a^2}$}
\tkzLabelSegment[above=2pt,rotate=30](A,B){$x$}
\tkzMarkRightAngle(B,O,A)
\tkzMarkAngle[size=1.2cm, mark= ](O,A,B)
\tkzLabelAngle[pos = 0.8](O,A,B){$\theta$}
\end{tikzpicture}}

\newcommand{\sinsub}{\begin{tikzpicture}[thick]
\node at (-2,2.5) {sin sub};
\coordinate (O) at (0,0);
\coordinate (A) at (-4,0);
\coordinate (B) at (0,2);
\draw (O)--(A)--(B)--cycle;
\tkzLabelSegment[below=2pt](O,A){$\sqrt{a^2-x^2}$}
\tkzLabelSegment[right=2pt](O,B){$x$}
\tkzLabelSegment[above=2pt, rotate=30](A,B){$a$}
\tkzMarkRightAngle(B,O,A)
\tkzMarkAngle[size=1.2cm, mark= ](O,A,B)
\tkzLabelAngle[pos = 0.8](O,A,B){$\theta$}
\end{tikzpicture}}

\newcommand{\tansub}{\begin{tikzpicture}[thick]
\node at (-2,2.5) {tan sub};
\coordinate (O) at (0,0);
\coordinate (A) at (-4,0);
\coordinate (B) at (0,2);
\draw (O)--(A)--(B)--cycle;
\tkzLabelSegment[below=2pt](O,A){$a$}
\tkzLabelSegment[right=2pt](O,B){$x$}
\tkzLabelSegment[above=2pt, rotate=30](A,B){$\sqrt{a^2+x^2}$}
\tkzMarkRightAngle(B,O,A)
\tkzMarkAngle[size=1.2cm, mark= ](O,A,B)
\tkzLabelAngle[pos = 0.8](O,A,B){$\theta$}
\end{tikzpicture}}

\newcommand{\trigsubs}{\raisebox{-8.5pt}{\sinsub}\tansub\secsub}

% Plante demobox macro
\ifnum\catcode`@=11 \let\next\relax \else \let\next\makeatother \fi
\makeatletter

\font\@finfo=cmtex8 at 6pt
\def\finfo{\@finfo\baselineskip=8pt}

\def\wd@{\wd\z@} \def\ht@{\ht\z@} \def\dp@{\dp\z@}

\newdimen\demo@hmin
\newif\ifdemo@wd \newif\ifdemo@ht \newif\ifdemo@dp
\setbox\z@\hbox{$\braceld\braceru\bracelu\bracerd$} \demo@hmin\wd@

\long\def\demobox#1{\begingroup\demo@wdtrue\demo@httrue\demo@dptrue
    \quitvmode\setbox\z@\hbox\ifmmode
        \ifinner{$#1$}\else{$\displaystyle#1$}\fi
    \else{#1}\fi
    \demobox@frame
}
\def\demobox@frame{%
    \dimen@\dimexpr\ht@+\dp@\relax
    \ifdim\dimen@>\demo@hmin \kern4em \fi
    \rlap{\vbox{\hrule\hb@xt@\wd@{\vrule\@height\ht@\hss\vrule}\hrule}}%
    \ifdim\dp@>\z@
        \rlap{\kern\z@\vbox to\z@{\hb@xt@\wd@{\vrule\@height\dp@\hss\vrule}\hrule\vss}}%
    \else \demo@dpfalse \fi
    \ifdim\wd@>\demo@hmin \demo@wdfalse
        \rlap{\raise\dimexpr1.2ex+\ht@\rlap{\hb@xt@\wd@{\downbracefill}}\raise\dimexpr2.4ex+\ht@\hb@xt@\wd@{\hss{\finfo\the\wd@}\hss}}%
    \fi\demobox@specs
}
\def\demobox@specs{%
    \ifdim\dimen@>\demo@hmin
        \llap{%
            {\finfo
            \lower\dp@\vbox to\dimen@{\vss \hbox{\the\ht@}%
                \ifdemo@dp \hbox{\llap{+}\the\dp@}\fi \vss}%
            \kern1.2ex}%
            \setbox\@ne\hb@xt@\dimen@{\downbracefill}
            \lower\dp@\hb@xt@\z@{\rotatebox{90}{\box\@ne}}%
            \kern1.4ex
        }%
    \demo@htfalse \demo@dpfalse \fi
    \copy\z@
    \kern.2em
    \lower\dp@\vbox to\dimen@{\finfo \vss
        \ifdemo@wd \hbox{\hb@xt@1em{wd\hss}:\kern.2em\the\wd@} \fi
        \ifdemo@ht \hbox{\hb@xt@1em{ht\hss}:\kern.2em\the\ht@} \fi
        \ifdemo@dp \hbox{\hb@xt@1em{dp\hss}:\kern.2em\the\dp@} \fi \vss
    }\endgroup
}

\next

% Tikz pics
\tikzset{
  sharingan/.pic={
    \fill [red, pic actions] (0,0) circle (1);
    \draw [ultra thick] (0,0) circle (1);
    \draw [ultra thick] (0,0) circle (0.625);

    \fill (0,0) circle (0.125);
    \fill (0,0.625) circle (0.125);
    \fill (-0.541,-0.312) circle (0.125);
    \fill (0.541,-0.312) circle (0.125);

    \fill plot [smooth cycle] coordinates {(-0.1,0.7) (0,0.86) (-0.03,0.7463)};
    \fill plot [smooth cycle] coordinates {(-0.541,-0.437) (-0.77,-0.39) (-0.641,-0.387)};
    \fill plot [smooth cycle] coordinates {(0.666,-0.312) (0.675,-0.5) (0.636,-0.3932)};
  }
}

\tikzset{
  Ahaha/.pic={
\fill[inner color=yellow, outer color=yellow!50!orange] (11,9) circle (6);
    \draw [brown, ultra thick] (11,9) circle (6);

    \fill [inner color= brown, outer color= brown!80!black] plot [smooth cycle] coordinates {(7.2,10.25) (7.125,10.5) (8.5,10.6) (9.75,11) (9.8,10.75) (8.5,10.2)};
     \fill [inner color= brown, outer color= brown!80!black] plot [smooth cycle] coordinates {(7.75,9.25) (8.875,9) (10,9.25) (9.75,8.75) (8.875, 8.6) (7.9,8.85)};

    \fill [inner color= brown, outer color= brown!80!black] plot [smooth cycle] coordinates {(11.7,11.73) (11.7,11.9) (12.25,12) (13.5, 12) (15,11.4) (15,11.05) (13.7,11.5)};
    \fill [inner color= brown, outer color= brown!80!black] (12.5,9.5) ellipse (0.75cm and 1cm);

    \fill [inner color= brown, outer color= brown!80!black] plot [smooth cycle] coordinates {(7.5,7.4) (11,7) (14,7.5) (13.75,6) (12.2,5) (10,6.2) (7.75,6.6)};
    \fill [inner color=white, outer color = white!85!black] plot [smooth cycle] coordinates {(7.95, 6.75) (7.6,7.2) (11,6.8) (13.85,7.3) (13.8,6.75) (12.2,6.3)};

    \fill [brown] plot [smooth cycle] coordinates {(9.1,6.5) (8.7,6.3) (8.9,5.85) (8.85,6.5)};
    \fill [brown] plot [smooth cycle] coordinates {(9.8,6.4) (9.4,6.2) (9.6,5.75) (9.55,6.4)};
  }
}