High-Precision Tangent Calculator

Calculate the tangent of any angle with adjustable precision from 1 to 1000 decimal places. Supports degrees and radians, shows step-by-step solutions, and clearly flags vertical asymptotes (e.g., 90° + k·180°).

Embed High-Precision Tangent Calculator Widget

About High-Precision Tangent Calculator

Welcome to the High-Precision Tangent (tan) Calculator. This tool delivers ultra-accurate tangent values with user-selectable precision from 1 to 1000 decimal places. Enter an angle in degrees or radians, see a step-by-step solution, and get clear warnings when the input is at a vertical asymptote (e.g., 90°, 270°, …).

High-Precision Advantage

High precision: Supports 1–1000 decimal places using arbitrary‑precision arithmetic (beyond the usual 15–16 digits of typical calculators).

Why use a high-precision tangent calculator?

Arbitrary precision: Go well beyond typical 15–16 digit limits.
Degrees or radians: Flexible input modes.
Asymptote awareness: Detects undefined points at 90° + k·180° (π/2 + k·π).
Educational output: Normalization (period π), unit circle coordinates, and exact values at special angles.
Visualization: See the unit circle point and a line whose slope equals tan(θ).
Research-ready: Backed by mpmath for reliable arbitrary-precision math.

Understanding tangent

The tangent of an angle θ is defined as tan(θ) = sin(θ)/cos(θ). Tangent is periodic with π (180°). It is undefined when cos(θ) = 0, which occurs at odd multiples of π/2 (90°, 270°, …). Near those angles, tan(θ) grows without bound in magnitude.