It is possible to define coordinates using trigonometric ratios with the construction of a geometric figure, as in the attached example but it does not work for me.
\documentclass{book}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw (0,0) -- (1,3);
\draw (0,0) -- ({cos(30)},{tan(45)});
\end{tikzpicture}
\end{document}
({cos(30)},{tan(45)});(you have to protect the inner parentheses by wrapping the x and y coordinate in braces). – Henri Menke Nov 15 '18 at 04:46