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Arccot Calculator (cot⁻¹)

Calculate the inverse cotangent (arccot) of any real number. Find the angle whose cotangent equals the input.

Calculator

Value x (any real number)

Domain: All real numbers (-∞, ∞)

Range: (0, π) or (0°, 180°)

y = arccot(x) means cot(y) = x

d/dx[arccot(x)] = -1/(1+x²)

arccot(0) = π/2 = 90°

arccot(x) + arctan(x) = π/2

Note: There are two common conventions for the range of arccot:

(0, π): Used here and in most calculus contexts. The function is continuous and decreasing.
(-π/2, π/2) excluding 0: Sometimes used to match arctan's range style.

This calculator uses the (0, π) convention, which is more common in mathematics.

Because cotangent can output any real value (from -∞ to ∞), just like tangent. So arccot can accept any real input.

They're completely different! arccot is the inverse of cotangent. The relationship is: arccot(x) = π/2 - arctan(x), not 1/arctan(x).

Because cot(90°) = cos(90°)/sin(90°) = 0/1 = 0. So the angle whose cotangent is 0 is 90°.

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