Arctan Inverse Tangent Function Calculator

arctan    

y=arctan(x) Graph

The usual principal values of the arctan(x) and arccot(x) functions graphed on the cartesian plane.

y x = arctan(y)
degrees radians
-1.732050808 -60° -π/3
-1.000000000 -45° -π/4
-0.577350269 -30° -π/6
0 0
0.577350269 30° π/6
1.000000000 45° π/4
1.732050808 60° π/3

What is an Arctan (Inverse Tangent) Function Calculator?

An Arctan Calculator, also known as an Inverse Tangent Calculator, computes the arctangent (tan⁻¹ or atan) of a given number. The arctangent function returns the angle whose tangent is the input value.

For example:

Why Use an Arctan Calculator?

  • Quick Calculations: Instead of manually solving for angles, the calculator provides instant results.
  • Accuracy: Ensures precise values for scientific and engineering applications.
  • Convenience: Works with degrees or radians based on your needs.

How Does It Work?

  1. Input: Enter a value (x) between -∞ and ∞.
  2. Processing: The calculator applies the formula θ = arctan(x).
  3. Output: Returns θ (angle in degrees or radians).

When Is It Used?

  • Physics & Engineering: To determine angles in motion, forces, and wave calculations.
  • Navigation & GPS: Used to compute direction angles from coordinate differences.
  • Machine Learning & Data Science: Used in activation functions and angle normalization.
  • Game Development & Graphics: Helps with rotations and perspective calculations.