ATan - arctangent (inverse tangent)

The calculator on this page calculates the inverse tangent for real numbers. Trigonometric functions for complex numbers can be found in the complex numbers section.

To calculate, enter the value of the tangent to which the angle should be calculated and click on the Calculate button. The unit of measurement for the result can be switched between degrees and radians

Arc tangent calculator Input Delete Entry Tangent Unit of measure Degree Radiant Decimal places 0 1 2 3 4 6 8 10 Result Angle

Inverse tangent, scale in radians

Input

A real number

Result

The result is given in degrees (range = -90° to +90°) or radians (range = -π/2 to +π/2). The unit of measurement used is set to degrees or radians at the top of the menu.

Description

Arkustangens (also known as arctan or tan⁻¹) is a mathematical function that serves as the inverse function of the tangent. It helps find the angle whose tangent corresponds to a given number. The formula for the arkustangens function is:

\(\text{Arkustangens}(x) = \tan^{-1}(x) \)

For any value of \(x\), the arkustangens function returns the angle, typically measured in radians or degrees.

The range of the arkustangens is \(-\frac{\pi}{2} < f(x) < \frac{\pi}{2}\)

The arkustangens function is closely related to the tangent function and plays a significant role in mathematics, especially in complex function theory and trigonometry. It is one of the core functions in the class of arcus functions, along with the arccosine and arcsine functions.