Arc tangent of a complex number
Calculator for the arc tangent of a complex number
This function returns the angle that is the arc tangent of the specified complex number. The angle is given in radians.
To perform the calculation, enter the complex number. Then click on the 'Calculate' button.
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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 with real numbers 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.
More complex functions
Absolute value (abs) • Angle • Conjugate • Division • Exponent • Logarithm to base 10 • Multiplication • Natural logarithm • Polarform • Power • Root • Reciprocal • Square root •Cosh • Sinh • Tanh •
Acos • Asin • Atan • Cos • Sin • Tan •
Airy function • Derivative Airy function •
Bessel-I • Bessel-Ie • Bessel-J • Bessel-Je • Bessel-K • Bessel-Ke • Bessel-Y • Bessel-Ye •
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