Cot 0 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

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

xyOP

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.

All four functions of 0°
FunctionExact valueDecimal
sin 0°00
cos 0°11
tan 0°00
cot 0°undefined—

See Also

FAQ

What is cot 0°?

cot 0° is undefined

Why does cot 0° not exist?

The point of 0° on the unit circle is (1, 0): sin 0° = 0, and cot = cos / sin would divide by zero. On the unit circle line OP runs parallel to the line y = 1 and never meets it.

What is the sign of cotangent in each quadrant?

Cotangent is the ratio x / y of the point of the angle: positive in quadrants I and III, negative in II and IV.