Arccot of 0

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccot(0)?

Answer

arccot(0) =
90° = π/2

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

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

cot 90° = 0 ✓

xyOP

α = arccot(0) = 90°

P(cos 90°, sin 90°) = (0, 1)

C(0, 1) is where line OP meets the line y = 1; highlighted: cot α = 0.

All four inverse functions of 0
FunctionDegreesRadians
arcsin(0)0°0
arccos(0)90°π/2
arctan(0)0°0
arccot(0)90°π/2

See Also

Recalculate with different values ↑

Arccotangent of nearby values

xarccot x
−√3150° = 5π/6
−1135° = 3π/4
−√3/3120° = 2π/3
090° = π/2
0.3≈ 73.3008°
1/2≈ 63.4349°
√3/360° = π/3

FAQ

What is arccot(0)?

arccot(0) = 90° = π/2

How to find arccot(0) from a table of cotangents?

Look in the table for the angle α in (0°, 180°) with cot α = 0: it is 90°, or π/2 in radians.

Why does a calculator show 1.5708 for arccot(0)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccot(0) = π/2 ≈ 1.5708 rad. In degrees (DEG) it is 90°.

See Also