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}