$\newenvironment {prompt}{}{} \newcommand {\accordion }[0]{} \newcommand {\ungraded }[0]{} \newcommand {\xmDefaultPreamble }[0]{xmPreamble.tex} \newcommand {\blue }[1]{{\color {blue}#1}} \newcommand {\red }[1]{{\color {red}#1}} \newcommand {\onlineChoice }[1]{\pdfOnly {\wordchoicegiventrue }\wordChoice {#1}\pdfOnly {\wordchoicegivenfalse }} \newcommand {\hypertarget }[1]{\HCode {<a class="ximera-label" id="#1"></a>}} \newcommand {\hyperlink }[2]{\HCode {<a class="reference reference-keeptext" href="\##1">}#2\HCode {</a>}} \newcommand {\tdplotsinandcos }[3]{\pgfmathsetmacro {#1}{sin(#3)}\pgfmathsetmacro {#2}{cos(#3)}} \newcommand {\tdplotdiv }[3]{\pgfmathsetmacro {#1}{#2/#3}} \newcommand {\tdplotcheckdiff }[5]{\par \par \pgfmathparse { abs(#2 - #1)<#3 } \par \ifthenelse {\equal {\pgfmathresult }{1}}{#4}{#5} } \newcommand {\tdplotsetmaincoords }[2]{\pgfmathsetmacro {\tdplotmaintheta }{#1} \pgfmathsetmacro {\tdplotmainphi }{#2} \tdplotcalctransformmainscreen \tikzset 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