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\documentclass{article}
\usepackage{german}
\setlength{\textwidth}{140mm}
\begin{document}
\[ \begin{array}{@{}r@{\;=\;}l@{\quad}r@{\;=\;}l@{\quad}r@{\;=\;}l@{}}
    \sin2\alpha & 2\sin\alpha\cos\alpha, &
    \sin3\alpha & 3\sin\alpha-4\sin^3\alpha &
    \sin4\alpha & 8\cos^3\alpha\sin\alpha - 4\cos\alpha\sin\alpha\\
    \cos2\alpha & \cos^2\alpha - \sin^2\alpha &
    \cos3\alpha & 3\cos^3\alpha - 3\cos\alpha &
    \cos4\alpha & 8\cos^4\alpha - 8\cos^2\alpha + 1
   \end{array}  \]
\end{document}