Arccot of √3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccot(√3)?

Answer

arccot(√3) =
30° = π/6

Range: arccot x is an angle strictly between 0° and 180°, so the answer is unique.

arccot(√3) is the angle α in (0°, 180°) with cot α = √3.

cot 30° = √3 ✓

xyOPC

α = arccot(√3) = 30°

P(cos 30°, sin 30°) = (√3/2, 1/2)

C(√3, 1) is where line OP meets the line y = 1; highlighted: cot α = √3.

All four inverse functions of √3
FunctionDegreesRadians
arcsin(√3)does not exist—
arccos(√3)does not exist—
arctan(√3)60°π/3
arccot(√3)30°π/6

See Also

Recalculate with different values ↑

Arccotangent of nearby values

xarccot x
0.3≈ 73.3008°
1/2≈ 63.4349°
√3/360° = π/3
145° = π/4
√330° = π/6
2≈ 26.5651°
3≈ 18.4349°

FAQ

What is arccot(√3)?

arccot(√3) = 30° = π/6

How to find arccot(√3) from a table of cotangents?

Look in the table for the angle α in (0°, 180°) with cot α = √3: it is 30°, or π/6 in radians.

Why does a calculator show 0.5236 for arccot(√3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccot(√3) = π/6 ≈ 0.5236 rad. In degrees (DEG) it is 30°.

See Also