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Definition: Tangent of a Real Variable
Let \(x\in\mathbb R\) be any real number. The tangent of \(x\) is a function \(\tan:\mathbb R\mapsto\mathbb R\) defined as the ratio of the sine and cosine of $x$, formally,
$$\tan(x):=\frac{\sin(x)}{\cos(x)}.$$
The tangent function has is demonstrated in the following figure:
Table of Contents
 Proposition: Additivity Theorem of Tangent
 Proposition: Derivative of Tangent
Mentioned in:
Propositions: 1 2 3
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983