Cot 90 Degrees

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

What is cot 90°?

Answer

cot 90° =
0

Angle in radians: 90° = π/2. The point of the angle is on the y-axis: (0, 1).

cot 90° = cos 90° / sin 90° = 0 / 1 = 0

xyOP

P(cos 90°, sin 90°) = (0, 1)

C(cot 90°, 1) = (0, 1) — where line OP meets the line y = 1.

All four functions of 90°
FunctionExact valueDecimal
sin 90°11
cos 90°00
tan 90°undefined—
cot 90°00

See Also

FAQ

What is cot 90°?

cot 90° = 0

Why is cot 90° equal to 0?

The point of 90° on the unit circle is (0, 1), and cot = x / y = 0 / 1 = 0.

Why does a calculator show −0.5012 for cot 90?

The calculator is in radian mode (RAD): it takes cot 90 as the cotangent of 90 radians, cot 90 rad ≈ −0.5012. Switch it to degrees (DEG): cot 90° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.