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+\documentclass{article}
+\usepackage{german}
+\begin{document}
+\begin{eqnarray}
+\arcsin x & = & -\arcsin(-x) = \frac{\pi}{2} - \arccos x = 
+	       \left[\arccos\sqrt{1-x^2}\,\right]\nonumber\\
+	  & = & \arctan\frac{x}{\sqrt{1-x^2}} =
+	       \left[\mbox{\rm arccot}\frac{\sqrt{1-x^2}}{x}\right]
+\end{eqnarray}
+\begin{eqnarray}
+\lefteqn{f(x+h,y+k) = f(x,y) + \left\{\frac{\partial f(x,y)}{\partial x}h +
+    \frac{\partial f(x,y)}{\partial y}k\right\}}\nonumber\\
+    &&\mbox{} + \frac{1}{2}\left\{\frac{\partial^2f(x,y)}{\partial x^2}h^2
+      + 2\frac{\partial^2f(x,y)}{\partial x\partial y}kh
+      +  \frac{\partial^2f(x,y)}{\partial y^2}k^2\right\}\\
+    &&\mbox{} + \frac{1}{6}\{\cdots\} + \cdots + \frac{1}{n!}\{\cdots\} + R_n
+    \nonumber
+\end{eqnarray}
+\end{document}