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
▼ Semigroup
▼ Standard N-operation
▼ Indexed sum
▼ Series
▼ Power series
▼ Convergent power series
▼ Convergent basic real power series
▼ Standard real sine function
▼ Standard real tangent function
Definition D4665
Standard real repeating 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 repeating tangent function is the D4364: Real function \begin{equation} \tan : \mathbb{R} \setminus \left\{ \frac{n \pi}{2} : n \in 2 \mathbb{Z} + 1 \right\} \to \mathbb{R}, \quad \tan(x) = \frac{\sin(x)}{\cos(x)} \end{equation}