Cot 360 Degrees

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

What is cot 360°?

Answer

cot 360°
is undefined

Angle in radians: 360° = 2π. 360° is a full turn: the point is on the x-axis, (1, 0).

sin 360° = 0, and cot = cos / sin: you can't divide by zero, so the value doesn't exist.

cot 360° = cot(360° − 360°) = cot 0°

cot 360° = cos 360° / sin 360° = 1 / 0

xyOP

P(cos 360°, sin 360°) = (1, 0)

Line OP of 360° runs parallel to the line y = 1: they never meet, so cot 360° doesn't exist.

+1 turn: the drawing shows 0°.

All four functions of 360°
FunctionExact valueDecimal
sin 360°00
cos 360°11
tan 360°00
cot 360°undefined—

Reference angle: cot 0° is undefined

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
342°−√(5 + 2√5)
345°−2 − √3
355°≈ −11.4301
360°undefined
390°√3
400°≈ 1.1918
450°0

FAQ

What is cot 360°?

cot 360° is undefined

Why does cot 360° not exist?

360° ends at the same point as 0°, (1, 0): sin 360° = 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.

Why does a calculator show −0.2958 for cot 360?

The calculator is in radian mode (RAD): it takes cot 360 as the cotangent of 360 radians, cot 360 rad ≈ −0.2958. Switch it to degrees (DEG): cot 360° is undefined. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also