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Arccot of 0

Arcsin, Arccos, Arctan, Arccot

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 ✓

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
Function	Degrees	Radians
arcsin(0)	0°	0
arccos(0)	90°	π/2
arctan(0)	0°	0
arccot(0)	90°	π/2

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See Also

Sin, Cos, Tan, Cot of an Angle - Exact value in square roots and the decimal, with reduction to an acute angle on the unit circle
Square Root Calculator - Calculate the square root of any number
Simplify Square Root Calculator - Write any square root in simplest radical form, step by step

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<a href="https://calculat.io/en/number/inverse-trigonometry/arccot--0">Arccot of 0 (Inverse Cotangent) in Degrees and Radians</a>

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Arccot of 0 (Inverse Cotangent) in Degrees and Radians. arccot(0) = 90° = π/2: the angle in (0°, 180°) whose cotangent is 0. With the check and the unit circle.

https://calculat.io/en/number/inverse-trigonometry/arccot--0/generated.jpg

Arccotangent of nearby values

x	arccot x
−√3	150° = 5π/6
−1	135° = 3π/4
−√3/3	120° = 2π/3
0	90° = π/2
0.3	≈ 73.3008°
1/2	≈ 63.4349°
√3/3	60° = π/3

Recalculate with different values ↑

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