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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

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983