Cot Calculator
Calculate the cotangent of any angle in degrees or radians, with pole detection.
Inputs
cot(θ)
1.0000000000
Angle (degrees)
45.000000°
Angle (radians)
0.78539816
Step by step
Convert to radians
45 degrees = 0.78539816 rad
Check for poles
= No singularity detected
Apply cot function
cot(0.78539816) = 1/tan(0.78539816)
= 1
How it works
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
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.