Arccot Calculator
Calculate the inverse cotangent (arccot) of any real number.
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Table of Contents
Concept
What is Arccot?
The arccot function (also known as inverse cotangent) is the inverse of the cotangent function. It takes any real number and returns the angle whose cotangent is that value.
Definition:
If y = cot(θ), then θ = arccot(y)
Formula
Arccot Formula
The arccot function can be calculated using the following formula:
Formula:
arccot(x) = θ where -∞ < x < ∞ and 0° < θ < 180° (or 0 < θ < π in radians)
Values
Common Arccot Values
Special Values
- arccot(0) = 90°
- arccot(1.7321) = 30°
- arccot(1) = 45°
- arccot(0.5774) = 60°
- arccot(∞) = 0°
- arccot(-∞) = 180°
Properties
- Domain: (-∞, ∞)
- Range: (0°, 180°) or (0, π)
- arccot(-x) = 180° - arccot(x)
- arccot(cot(θ)) = θ for 0° < θ < 180°
Applications
Applications of Arccot
Physics Wave Analysis
Arccot is used in wave analysis to determine phase angles and wave properties.
Engineering Control Systems
Arccot functions are used in control systems to calculate phase angles and system responses.
Navigation GPS and Location
Arccot is used in GPS systems to calculate bearings and directions.
Tools
Trigonometry Calculators
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