Calculate the cotangent of an angle in degrees or radians with undefined-angle detection where sine is zero.
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Trigonometry
The cotangent calculator computes cot(θ) = cos(θ)/sin(θ) for any angle. It detects undefined values at 0°, 180°, and other multiples of 180° where sine is zero.
Cotangent is the reciprocal of tangent: cot(θ) = 1/tan(θ) = cos(θ)/sin(θ). It is undefined wherever sine equals zero — at 0°, 180°, 360°, and all integer multiples of 180°.
The cotangent function has period 180° (pi radians), the same as tangent.
Common exact values: cot(30°) = sqrt(3), cot(45°) = 1, cot(60°) = sqrt(3)/3, cot(90°) = 0.
Frequently asked questions
Because sin(0°) = 0 and cotangent is cos/sin. Division by zero is undefined.
0. cos(90°) = 0 and sin(90°) = 1, so cot(90°) = 0/1 = 0.
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