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\noindent{\textbf{Goniometrische Gleichungen}}

\noindent Es sind jeweils alle Lösungen der Gleichung im Intervall $0°\leq x\leq 360°$ zu bestimmen.
\begin{enumerate}
\item $2\cos^2 x-7\cos x+3 = 0$
\item $\sin^2 x - 3\cos^2 x = 1$
\item $\cos x + \cot x = 1 + \sin x$
\item $\sin^2 x - 6\cos^2 x + \sin x\cos x = 0$
\item $\sin x + \cos x = \frac{\displaystyle 1}{\displaystyle \cos x}$
\item $2(1-\cos 2 x) = 3\sin 2 x$
\item $12 \sin^2 x - 7\sin x\cos x = 12\cos^2 x$
\item $\sin(60°+ x)=2\sin(60° - x)$
\item $\cos 2 x = 3\cos x - 2$
\item $\tan x + \tan 2 x = 0$
\item $\cot x + \cot 2 x = 0$
\item $\frac{\displaystyle\sin x}{\displaystyle {1-\cos x}} = \tan{x}$
\item $\sin x + \sin 2 x = 0$
\item $\cos x + \cos 2 x = 0$
\item $\sin x + \sin 2 x + \sin 3 x = 0$
\item $\sin x + \sin 2 x + \sin 3 x + \sin 4 x = 0$
\item $\sin x - \sin 2 x + \sin 3 x - \sin 4 x = 0$
\item $1 - \cos 2 x + \sin 3 x - \sin x = 0$
\item $\tan x + \tan 2 x - \tan 3 x = 0$
\item $\sin x + \cos x + \tan x = \cot x$
\item $\sin^4 x + \cos^4 x = \frac{2}{3}$
\item $\sin^6 x + \cos^6 x = 0.3$
\end{enumerate}
\newpage
\noindent \textbf{Ergebnisse:}
\begin{enumerate}
\item $60°$, $300°$
\item $90°$, $270°$
\item $45°$, $225°$, $270°$
\item $63.4°$, $108.4°$, $243.4°$, $288.4°$
\item $0°$, $45°$, $180°$, $225°$
\item $0°$, $56.3°$, $180°$, $236.3°$
\item $53.1°$, $143.1°$, $233.1°$, $323.1°$
\item $30°$, $210°$
\item $0°$, $60°$, $300°$
\item $0°$, $60°$, $120°$, $180°$, $240°$, $300°$
\item $60°$, $120°$, $240°$, $300°$
\item $60°$, $180°$, $300°$
\item $0°$, $120°$, $180°$, $240°$
\item $60°$, $180°$, $300°$
\item $0°$, $90°$, $120°$, $180°$, $240°$, $270°$
\item $0°$, $72°$, $90°$, $144°$, $180°$, $216°$, $270°$, $288°$
\item $0°$, $36°$, $90°$, $108°$, $180°$, $252°$, $270°$, $324°$
\item $0°$, $90°$, $180°$, $210°$, $330°$
\item $0°$, $60°$, $120°$, $180°$, $240°$, $300°$
\item $28.0°$, $135°$, $242.0°$, $315°$
\item $27.4°$, $62.6°$, $117.4°$, $152.6°$, $207.4°$, $242.6°$, $297.4°$, $332.6°$
\item $37.5°$, $52.5°$, $127.5°$, $142.5°$, $217.5°$, $232.5°$, $307.5°$, $322.5°$
\end{enumerate}
\end{document}