Arccot of √3/3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccot(√3/3)?

Answer

arccot(√3/3) =
60° = π/3

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

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

cot 60° = √3/3 ✓

xyOP

α = arccot(√3/3) = 60°

P(cos 60°, sin 60°) = (1/2, √3/2)

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

All four inverse functions of √3/3
FunctionDegreesRadians
arcsin(√3/3)≈ 35.2644°≈ 0.6155
arccos(√3/3)≈ 54.7356°≈ 0.9553
arctan(√3/3)30°π/6
arccot(√3/3)60°π/3

See Also

Recalculate with different values ↑

Arccotangent of nearby values

xarccot x
090° = π/2
0.3≈ 73.3008°
1/2≈ 63.4349°
√3/360° = π/3
145° = π/4
√330° = π/6
2≈ 26.5651°

FAQ

What is arccot(√3/3)?

arccot(√3/3) = 60° = π/3

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

Look in the table for the angle α in (0°, 180°) with cot α = √3/3: it is 60°, or π/3 in radians.

Why does a calculator show 1.0472 for arccot(√3/3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccot(√3/3) = π/3 ≈ 1.0472 rad. In degrees (DEG) it is 60°.

See Also