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.
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.
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// from MiniWebtool, https://MiniWebtool.com/
by miniwebtool team. Updated: Nov 10, 2025
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