Enter the number and the tangent inverse into the calculator to determine the cotangent inverse.

## Cot Inverse Formula

The following formula is used to calculate the cotangent inverse or arccotangent of a number.

arccot(x) = π/2 - arctan(x)

Variables:

- arccot(x) is the cotangent inverse of x (in radians) x is the number for which you want to find the cotangent inverse arctan(x) is the tangent inverse of x (in radians) π is the mathematical constant Pi, approximately 3.14159

To calculate the cotangent inverse of a number, first find the tangent inverse of the number. Then subtract this value from π/2. The result is the cotangent inverse of the number.

## What is a Cot Inverse?

Cot inverse, also known as arccotangent or cotangent inverse, is a mathematical function that calculates the angle whose cotangent is a given number. It is the inverse operation of the cotangent function, which means it undoes the action of the cotangent function. The cotangent of an angle in a right triangle is the ratio of the adjacent side to the opposite side. Therefore, the cot inverse of a number gives the angle whose cotangent is that number.

## How to Calculate Cot Inverse?

The following steps outline how to calculate the Cotangent Inverse using the formula: arccot(x) = π/2 – arctan(x).

- First, determine the value of x.
- Next, calculate the tangent inverse of x using the formula arctan(x).
- Then, subtract the result from π/2.
- Finally, you will have the cotangent inverse of x, which is arccot(x).

**Example Problem:**

Use the following variables as an example problem to test your knowledge.

x = 0.5

arctan(x) = ?

π = 3.14159

arccot(x) = ?