# Arccot Calculator

Use this calculator to easily calculate the arccot of a given number.

## Arccot function

The arccot is one of the inverse trigonometric functions (antitrigonometric functions) and is the inverse of the cotangent function. It is sometimes written as cot^{-1}(x), but this notation should be avoided as it might be confused with an exponent notation. The arccot is used to obtain an angle from the cotangent trigonometric ratio, which is the ratio between the side adjacent to the angle and the side opposite to it.

The function spans all real numbers (-∞ - +∞) and so do the results from our arccot calculator. The range of the angle values is usually between 0° and 180°. There are a number of arccot rules, like that tan(arccot(x)) = 1/x, that or sin(arccot(x)) = 1 / √(1+x^{2}), or that cos(arccot(x)) = x / √(1+x^{2}), which can help you in trigonometry calculus.

## How to calculate the arccot of a number?

The easiest way to calculate it is by using our arccot calculator above, which will output results in both degrees and radians. Other ways include other given information, such as the values of other trigonometric functions for the same angle or other angles in the same triangle.

Here is a table of common arccot values:

x | arccot(x) (°) | arccot(x) (rad.) |
---|---|---|

-∞ | 180° | π |

-√3 | 150° | 5π/6 |

-1 | 135° | 3π/4 |

-1/√3 | 120° | 2π/3 |

0 | 90° | π/2 |

1/√3 | 60° | π/3 |

1 | 45° | π/4 |

√3 | 30° | π/5 |

+∞ | 0° | 0 |

π is, of course, the mathematical constant about equal to 3.14159.

#### Cite this calculator & page

If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation:

Georgiev G.Z., *"Arccot Calculator"*, [online] Available at: https://www.gigacalculator.com/calculators/arccot-calculator.php URL [Accessed Date: 21 Jan, 2019].