Arccot Calculator – Find the Exact Value of Inverse Cotangent

Welcome to the arccot calculator, where you can easily calculate the corresponding angle based on the cosecant value.

Arccot is the abbreviation of arccotangent, which is the inverse function of cotangent. In addition to arccot, it can usually be represented by cot^-1 or arcctg. Arccotangent is also an inverse trigonometric function, which uses the ratio of the lengths of the adjacent and opposite sides of a right-angled triangle to find the size of the included angle. Its formula is:

θ = arccot(adjacentopposite)

In order to ensure that cotangent has an inverse function, the domain of definition of cotangent is specified between 0 and π, and does not include 0 and π. Therefore, the graph of the inverse cotangent is as follows:

arccotangent graph

1. Domain – The domain of arccotangent is all real numbers.
2. Range – The inverse cotangent range is between 0 and π, excluding 0 and π.
3. Monotonicity – In the domain, the arccotangent is monotonically decreasing.
4. Neither odd nor even function – Because arccot(x) ≠ arccot (-x), arccotangent is not an even function. At the same time, arccot(x) ≠ -arccot(-x), so arccotangent is not an odd function.

The easiest way to calculate the arccot is to use the inverse cotangent calculator (also called arccot calculator). Because the inverse cotangent is difficult to calculate by hand. Some people may use the arccotangent table (given below) to find the corresponding angle, but the inverse cotangent table has obvious defects. It is impossible to list all inverse cotangent values. When encountering a value that doesn’t exist in the inverse cotangent table, there’s nothing you can do about it. So, using an inverse cotangent calculator is a last resort.

Don’t worry, the arccot calculator is very easy to use. Just enter the value and click the calculation button. This value can be an integer, decimal or fraction. If entering a fraction, remember to separate the numerator and denominator with /. For example, 1/2, 3/5, 3/8 and so on.