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 D6034
Standard real cotangent function
Formulation 0
Let $\sin$ be the D1931: Standard real sine function.
Let $\cos$ be the D1927: Standard real cosine function.
The standard real cotangent function is the D4364: Real function \begin{equation} \cot : \mathbb{R} \setminus \left\{ n \pi : n \in \mathbb{Z} \right\} \to \mathbb{R}, \quad \cot(x) = \frac{\cos(x)}{\sin(x)} \end{equation}