# A tangential approach to trigonometry

## TL;DR

This paper introduces a novel method for constructing the complex tangent function as a meromorphic function, leveraging Weierstrass's approach to algebraic addition theorems in complex analysis.

## Contribution

It presents a new tangential approach to trigonometry by applying Weierstrass's framework for analytic functions with algebraic addition properties.

## Key findings

- Constructed the complex tangent as a meromorphic function.
- Applied Weierstrass's method to develop the tangent function.
- Enhanced understanding of trigonometric functions through complex analysis.

## Abstract

We construct the complex tangent as a meromorphic function in the plane, using an approach developed by Weierstrass in his characterization of analytic functions that satisfy algebraic addition theorems.