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Proposition: Additivity Theorem of Tangent
For all real numbers $x,y\in\mathbb R,$ for which the tangent functions $\tan(x),$ $\tan(y),$ and $\tan(x+y),$ are defined, the following additivity theorem holds:
$$\tan(x+y)=\frac{\tan(x)+\tan(y)}{1\tan(x)\tan(y)}.$$
Table of Contents
Proofs: 1
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983