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)


  • 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).

  1. First, determine the value of x.
  2. Next, calculate the tangent inverse of x using the formula arctan(x).
  3. Then, subtract the result from π/2.
  4. 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) = ?