---
tag: 05CG0S20S3
kind: concept
name: Tangent function
msc: [33B10]
sources:
  - url: https://en.wikipedia.org/wiki/Trigonometric_functions
    locator: Definitions in analysis
---

## Summary

The tangent function is the quotient of sine by cosine. It has period $\pi$, and it has vertical asymptotes where the cosine vanishes. The node [[tangent function|06T0HS14PP]] gives the precise definition.