Cot 80 Degrees

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

What is cot 80°?

Answer

cot 80° ≈
0.1763

Angle in radians: 80° = 4π/9. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 80° can't be written with square roots: 80° is not a multiple of 3°.

cot 80° = cos 80° / sin 80° ≈ 0.1763

xyOP

P(cos 80°, sin 80°) ≈ (0.1736, 0.9848)

C(cot 80°, 1) ≈ (0.1763, 1) — where line OP meets the line y = 1.

All four functions of 80°
FunctionExact valueDecimal
sin 80°—≈ 0.9848
cos 80°—≈ 0.1736
tan 80°—≈ 5.6713
cot 80°—≈ 0.1763

See Also

FAQ

What is cot 80°?

cot 80° ≈ 0.1763

Why does cot 80° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 80° is not, so no such exact form exists; the value is used as a decimal: cot 80° ≈ 0.1763.

Why does a calculator show 0.1111 for cot 80?

The calculator is in radian mode (RAD): it takes cot 80 as the cotangent of 80 radians, cot 80 rad ≈ 0.1111. Switch it to degrees (DEG): cot 80° ≈ 0.1763. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.