Cot 11 Degrees

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

What is cot 11°?

Answer

cot 11° ≈
5.1446

Angle in radians: 11° = 11π/180. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 11° can't be written with square roots: 11° is not a multiple of 3°.

cot 11° = cos 11° / sin 11° ≈ 5.1446

xyOP

P(cos 11°, sin 11°) ≈ (0.9816, 0.1908)

C(cot 11°, 1) ≈ (5.1446, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 11°
FunctionExact valueDecimal
sin 11°—≈ 0.1908
cos 11°—≈ 0.9816
tan 11°—≈ 0.1944
cot 11°—≈ 5.1446

See Also

FAQ

What is cot 11°?

cot 11° ≈ 5.1446

Why does cot 11° 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°. 11° is not, so no such exact form exists; the value is used as a decimal: cot 11° ≈ 5.1446.

Why does a calculator show −0.0044 for cot 11?

The calculator is in radian mode (RAD): it takes cot 11 as the cotangent of 11 radians, cot 11 rad ≈ −0.0044. Switch it to degrees (DEG): cot 11° ≈ 5.1446. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.