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Weisen Sie unter Zuhilfenahme nebenstehender Skizze die G"ultigkeit des
Additionstheorems 
\[\sin (\alpha+\beta)=\sin \alpha\cdot \cos \beta + \sin \beta
  \cdot \cos \alpha\]
nach!

(Hinweis: Zeigen Sie zun"achst: $\angle EBA=\alpha$!)
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