ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
▼ Binary relation
▼ Map
▼ Operation
▼ N-operation
▼ Binary operation
▼ Enclosed binary operation
▼ Groupoid
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▼ Standard N-operation
▼ Indexed sum
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▼ Power series
▼ Convergent power series
▼ Convergent basic real power series
▼ Standard real sine function
Definition D4664
Standard real tangent function
Formulation 1
Let $\sin$ be the D1931: Standard real sine function.
Let $\cos$ be the D1927: Standard real cosine function.
The standard real tangent function is the D4364: Real function \begin{equation} \tan : \left( - \frac{\pi}{2}, \frac{\pi}{2} \right) \to \mathbb{R}, \quad \tan(x) = \frac{\sin(x)}{\cos(x)} \end{equation}
Children
▶ D6034: Standard real cotangent function
▶ D4665: Standard real repeating tangent function