Arccos (Inverse Cosine) Calculator
Calculate the angle (in degrees or radians) whose cosine equals a given value. Includes principal value range (0° to 180° / 0 to π) and general solutions.
About Arccos (Inverse Cosine) Calculator
Welcome to the Arccos (Inverse Cosine) Calculator. Enter a cosine value x (where −1 ≤ x ≤ 1) and get the corresponding principal angle θ₀ = arccos(x) in degrees or radians. This tool clarifies the principal value range (0° to 180° / 0 to π) and shows the general solution for all angles that satisfy cos θ = x. Adjustable precision lets you format the output from 1 to 1000 decimal places. Precise results are powered by true arbitrary‑precision arithmetic.
High-Precision Advantage
- High precision up to 1000 decimal places — far beyond the 15–16 digits of common calculators.
- Arbitrary‑precision engine for stable and trustworthy scientific‑grade results.
- Clear principal value in degrees or radians, plus full general solutions.
- Unit circle visualization to build intuition about where solutions lie.
- Helpful validation for inputs outside the arccos domain (−1 ≤ x ≤ 1).
What this calculator provides
- Principal value θ₀ = arccos(x) with your chosen precision.
- Output in degrees or radians (your choice).
- Domain validation and clear error messages for |x| > 1.
- General solutions: θ = ±θ₀ + 2kπ.
- Educational, step‑by‑step explanation of the process.
- Ideal for trigonometry, geometry, physics, and engineering tasks.
Principal value range
By definition, arccos returns the unique principal value θ₀ in the interval [0, π] (i.e., [0°, 180°]) such that cos(θ₀) = x. All other angles with the same cosine value can be obtained from the general solution relationships described in the result section.
Reference this content, page, or tool as:
"Arccos (Inverse Cosine) Calculator" at https://MiniWebtool.com/arccos-calculator/ from MiniWebtool, https://MiniWebtool.com/
by miniwebtool team. Updated: Nov 09, 2025
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