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:

  1. $$$\operatorname{acot}(x)=\frac{\pi}{2}-\operatorname{atan}(x)$$$
  2. $$$\operatorname{acot}(x)=\operatorname{atan}\left(\frac{1}{x}\right)$$$

We use the first definition to make the inverse cotangent continuous at $$$x=0$$$.

Related calculator: Cotangent Calculator

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find $$$\operatorname{acot}{\left(\frac{\sqrt{3}}{3} \right)}$$$.


$$$\operatorname{acot}{\left(\frac{\sqrt{3}}{3} \right)} = \frac{\pi}{3}\approx 1.047197551196598$$$A

$$$\operatorname{acot}{\left(\frac{\sqrt{3}}{3} \right)} = 60^{\circ}$$$A

For graph, see the graphing calculator.