Arccotangent Calculator

Enter a decimal or a simple fraction (e.g., 0.5 or 4/3) to get arccot in degrees and radians.

Number

Arccotangent Calculator

Looking for a fast and reliable way to calculate the arccotangent (cot⁻¹) of a number? Our Arccot Calculator provides instant and accurate results in both degrees and radians, making trigonometry simple and error-free. Whether you’re a student learning inverse trigonometric functions, a teacher preparing practice problems, or an engineer solving technical calculations, this tool ensures precise, quick, and hassle-free results every time.

Understanding Arccot (cot⁻¹)

Arccotangent Definition:
The arccotangent function, also written as cot⁻¹(x), is the inverse of the cotangent function. It helps you find the angle when the cotangent value is already known.
θ = arccot(x)

Domain: −∞ < x < ∞
Range in radians: (0, π)
Range in degrees: (0°, 180°)

👉 In simple terms, arccot tells you the angle whose cotangent is equal to a given number, including both positive and negative values.

Formula for Arccotangent

If cot(θ) = x, then:
θ = arccot(x)
This calculator automatically applies the formula to provide results in both degrees and radians, saving you time and reducing errors.

Examples of Arccot Calculations

Using Decimal Values:

arccot(1) = 45° = 0.785 rad → ✅ Result: 45° (0.785 rad)

arccot(0.25) ≈ 75.96° = 1.325 rad → ✅ Result: 75.96° (1.325 rad)

arccot(−2) ≈ 153.44° = 2.677 rad → ✅ Result: 153.44° (2.677 rad)

Using Fraction Values:

arccot(1/3) ≈ 71.56° = 1.249 rad → ✅ Result: 71.56° (1.249 rad)

arccot(2/4) ≈ 63.43° = 1.107 rad → ✅ Result: 63.43° (1.107 rad)

arccot(−1/2) ≈ 116.56° = 2.034 rad → ✅ Result: 116.56° (2.034 rad)

Features of Our Arccot Calculator

✅ Calculates arccot values in degrees and radians

✅ Works with decimals, fractions, and negative numbers

✅ Simple and user-friendly interface

✅ 100% accurate and reliable results

✅ Works on mobile, desktop, and tablets

✅ Completely free — no registration required

Who Should Use This Calculator?

Students & Teachers – To solve inverse trig problems and practice exercises

Engineers & Architects – To apply cotangent-based calculations in designs

Scientists & Researchers – For modeling wave functions, oscillations, and geometry problems

Programmers & Developers – To implement inverse trig functions in applications

Everyday Learners – To understand the connection between cotangent and arccotangent

Why Use an Online Calculator Instead of Manual Calculation?

Manual Arccotangent calculation requires dividing cosine by sine and then applying inverse tangent, which can be time-consuming and prone to mistakes, especially with decimals, fractions, or negative values.
Our Arccot Calculator removes this risk by delivering instant, precise, and reliable results, saving you time and ensuring accuracy.

Practical Applications of Arccotangent

Trigonometry & Geometry – Finding missing angles in right triangles

Physics & Engineering – Solving equations involving wave behavior, optics, and mechanics

Architecture & Construction – Applying angle ratios in technical design

Computer Graphics – Determining orientation and rotation with inverse cot functions

Education – Helping students understand reciprocal and inverse trigonometric concepts

✅ The Arccotangent Calculator is an essential tool for anyone working with trigonometry, geometry, physics, or engineering. Whether you’re a student, teacher, programmer, or researcher, this calculator ensures fast, accurate, and easy arccotangent calculations in both degrees and radians, with full support for decimals, fractions, and negative numbers.

👉 Try our Arccotangent Calculator today on Hive Calculator and make your trigonometric calculations smarter, faster, and error-free!