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📐 Arctan Calculator (Inverse Tangent)

Compute arctan(x) with rad/deg output and quadrant considerations.

Arctan Calculator

arctan(x) =
—

Arctan, also written as tan⁻¹, is the inverse function of tangent. Given any real number, arctan returns the angle (in radians or degrees) whose tangent equals that value. The range of arctan is -90° to 90° (or -π/2 to π/2 radians), excluding the endpoints.

Quick Examples

Common arctan values you might encounter.

arctan(0) = 0° or 0 rad
The angle whose tangent is 0 is 0 degrees.
arctan(1) = 45° or π/4 rad
The angle whose tangent is 1 is 45 degrees.
arctan(√3) = 60° or π/3 rad
The angle whose tangent is √3 is 60 degrees.
arctan(∞) = 90° or π/2 rad
As x approaches infinity, arctan(x) approaches 90 degrees.

Use Cases

Common applications of the arctan function.

📐

Triangle Solving

  • Finding angles from side ratios
  • Solving inverse trigonometric problems
  • Calculating slopes and angles
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Education

  • Understanding inverse functions
  • Learning trigonometric identities
  • Calculus applications

Frequently Asked Questions

Common questions about the arctan function.

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Last updated: 2025-10-21 — Compiled and reviewed by Calvin (Math Research, FreeCalculators.app)