Cot 270 Degrees

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

What is cot 270°?

Answer

cot 270° =
0

Angle in radians: 270° = 3π/2. The point of the angle is on the y-axis: (0, −1).

cot 270° = cos 270° / sin 270° = 0 / (−1) = 0

xyOP

P(cos 270°, sin 270°) = (0, −1)

C(cot 270°, 1) = (0, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed).

All four functions of 270°
FunctionExact valueDecimal
sin 270°−1−1
cos 270°00
tan 270°undefined—
cot 270°00

Reference angle: cot 90° = 0

See Also

FAQ

What is cot 270°?

cot 270° = 0

Why is cot 270° equal to 0?

The point of 270° on the unit circle is (0, −1), and cot = x / y = 0 / (−1) = 0.

Why does a calculator show −5.5916 for cot 270?

The calculator is in radian mode (RAD): it takes cot 270 as the cotangent of 270 radians, cot 270 rad ≈ −5.5916. Switch it to degrees (DEG): cot 270° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.