Inverse Cotangent Calculator
Calculate the inverse cotangent of a number
The calculator will find the inverse cotangent of the given value in radians and degrees.
The inverse cotangent $$$y=\cot^{-1}(x)$$$ or $$$y=\operatorname{acot}(x)$$$ or $$$y=\operatorname{arccot}(x)$$$ is such a function that $$$\cot(y)=x$$$.
The domain of the inverse cotangent is $$$(-\infty,\infty)$$$, the range is $$$(0,\pi)$$$.
It is an odd function.
There are two conventional but incompatible definitions for the inverse cotangent:
- $$$\operatorname{acot}(x)=\frac{\pi}{2}-\operatorname{atan}(x)$$$
- $$$\operatorname{acot}(x)=\operatorname{atan}\left(\frac{1}{x}\right)$$$
We use the first definition to make the inverse cotangent continuous at $$$x=0$$$.
Related calculator: Cotangent Calculator
Your Input
Find $$$\operatorname{acot}{\left(\frac{\sqrt{3}}{3} \right)}$$$.
Answer
$$$\operatorname{acot}{\left(\frac{\sqrt{3}}{3} \right)} = \frac{\pi}{3}\approx 1.047197551196598$$$A
$$$\operatorname{acot}{\left(\frac{\sqrt{3}}{3} \right)} = 60^{\circ}$$$A
For graph, see the graphing calculator.