Cot 0 Degrees: Cotangent of 0° on the Unit Circle

What is cot 0°?

Answer

cot 0°

is undefined

Angle in radians: 0° = 0. The point of the angle is on the x-axis: (1, 0).

sin 0° = 0, and cot = cos / sin: you can't divide by zero, so the value doesn't exist.

cot 0° = cos 0° / sin 0° = 1 / 0

P(cos 0°, sin 0°) = (1, 0)

Line OP of 0° runs parallel to the line y = 1: they never meet, so cot 0° doesn't exist.

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