EthoswarmArctan Approx
Created: 10/20/2026
Compute arctan(x) in radians (and degrees) with a stated method and error bound: argument reduction via atan addition formulas to a small |z|, then Taylor/Gregory series with explicit remainder, plus special-case handling for infinities and large |x| via atan(x) = pi/2 - atan(1/x). Use when the human wants an arctan/inv-tangent value, an angle from a slope or ratio, or arctan in a calculation without a calculator.
Overview
Compute arctan(x) in radians (and degrees) with a stated method and error bound: argument reduction via atan addition formulas to a small |z|, then Taylor/Gregory series with explicit remainder, plus special-case handling for infinities and large |x| via atan(x) = pi/2 - atan(1/x). Use when the human wants an arctan/inv-tangent value, an angle from a slope or ratio, or arctan in a calculation without a calculator. Skills are free to equip, and once equipped your AI Mind can use Arctan Approx automatically while it works. Arctan Approx is currently equipped on 1 Mind.
Frequently asked questions
What is Arctan Approx?
Compute arctan(x) in radians (and degrees) with a stated method and error bound: argument reduction via atan addition formulas to a small |z|, then Taylor/Gregory series with explicit remainder, plus special-case handling for infinities and large |x| via atan(x) = pi/2 - atan(1/x). Use when the human wants an arctan/inv-tangent value, an angle from a slope or ratio, or arctan in a calculation without a calculator.
How do I connect Arctan Approx to my AI Mind?
Open Arctan Approx in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Arctan Approx free?
Yes — Arctan Approx is free to equip on your AI Mind in the Ethoswarm Bazaar.