TeX Quellcode:

\begin{array}{rcl}\sin^2(1^\circ)+\sin^2(2^\circ)+\dots +\sin^2(89^\circ)+\sin^2(90^\circ) &=& \sin^2(1^\circ)+\sin^2(89^\circ)+\sin^2(2^\circ)+\sin^2(88^\circ)+\dots +\sin^2(44^\circ)+\sin^2(46^\circ)+\sin^2(45^\circ)+\sin^2(90^\circ) \\&=& \sin^2(1^\circ)+\cos^2(1^\circ)+\sin^2(2^\circ)+\cos^2(2^\circ)+\dots +\sin^2(44^\circ)+\cos^2(44^\circ)+\sin^2(45^\circ)+\sin^2(90^\circ) \\&=& 1+1+\dots +1+\left(\frac{\sqrt{2}}{2}\right)^2+1^2 \\&=& 44+\frac{1}{2}+1 \\&=& 45{,}5\end{array}