![calculus - Why is $\operatorname{arccot} x$ not $\arctan \frac{1}{x}$ when $ x<0$? - Mathematics Stack Exchange calculus - Why is $\operatorname{arccot} x$ not $\arctan \frac{1}{x}$ when $ x<0$? - Mathematics Stack Exchange](https://i.stack.imgur.com/g07Ar.png)
calculus - Why is $\operatorname{arccot} x$ not $\arctan \frac{1}{x}$ when $ x<0$? - Mathematics Stack Exchange
![SOLVED: [5] The function arccot x is defined to be the inverse of portion of the function cot 0, for < 0 < b, where and b are certain real numbers. The SOLVED: [5] The function arccot x is defined to be the inverse of portion of the function cot 0, for < 0 < b, where and b are certain real numbers. The](https://cdn.numerade.com/ask_images/e2c9e8224f75454db10ea74547750f84.jpg)
SOLVED: [5] The function arccot x is defined to be the inverse of portion of the function cot 0, for < 0 < b, where and b are certain real numbers. The
![The arc-tangent function and the arc-cotangent function, The graph of the arc-tangent function y = tan-1x or y = arctan x, The graph of the arc-cotangent function y = cot-1x or y = The arc-tangent function and the arc-cotangent function, The graph of the arc-tangent function y = tan-1x or y = arctan x, The graph of the arc-cotangent function y = cot-1x or y =](http://www.nabla.hr/ArcCotFunct.gif)