Arctan (Inverse Tangent) Calculator

Calculate the angle (in degrees or radians) whose tangent equals a given value. Shows the principal value range (−90° to 90° / −π/2 to π/2), general solutions, and supports 1–1000 decimal places.

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About Arctan (Inverse Tangent) Calculator

Welcome to the Arctan (Inverse Tangent) Calculator. Enter a real value x and get the corresponding principal angle θ₀ = arctan(x) in degrees or radians. This tool clarifies the principal value range (−90° to 90° / −π/2 to π/2), shows the general solution for all angles satisfying tan θ = x, and supports formatting the result with precision from 1 to 1000 decimal places using true arbitrary‑precision arithmetic.

High-Precision Advantage

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

What this calculator provides

Principal value θ₀ = arctan(x) with your chosen precision.
Output in degrees or radians.
General solution for all angles: θ = θ₀ + k·π (k ∈ ℤ).
Step‑by‑step explanation to build intuition.
Simple visualization of y = arctan(x) and your input point.

Principal value range

By definition, arctan returns the unique principal value θ₀ in the open interval (−π/2, π/2) (i.e., (−90°, 90°)) such that tan(θ₀) = x. All other angles with the same tangent value differ by integer multiples of π.

Reference this content, page, or tool as:

"Arctan (Inverse Tangent) Calculator" at https://MiniWebtool.com/arctan-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Nov 10, 2025

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