Cot Calculator
Calculate the cotangent of any angle in degrees or radians, with pole detection.
About Cot Calculator
The cotangent is the reciprocal of tangent: cot(θ) = cos(θ)/sin(θ) = adjacent/opposite. It is undefined at multiples of 180° where sin = 0. The default input avoids poles.
Formula
Cotangent definition
cot θ = cos θ / sin θ = 1 / tan θ
- θ
- The angle
Worked example
With the default values below, Cot Calculator returns cot(θ) of 1.0000000000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Angle (θ)
- 45
- Angle unitone of Degrees, Radians
- Degrees
Results
- cot(θ)
- 1.0000000000
- Angle (degrees)
- 45.000000 °
- Angle (radians)
- 0.78539816
Step by step
- 1Convert to radians
- 2Check for poles= No singularity detected
- 3Apply cot function= 1
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 10 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
Why is cot(0°) undefined?
cot(θ) = cos(θ)/sin(θ). At 0°, sin = 0, so we divide by zero. The asymptotes are at 0°, 180°, 360°, etc.
What is cot(45°)?
cot(45°) = 1, since it is 1/tan(45°) = 1/1 = 1.