Exponent of a complex number
Online calculator for calculating the exponent of a complex number
The calculator on this page returns e to the power specified by a complex number. To calculate, enter a complex number and then click the Calculate button.
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Formulas for calculating the exponent
In the following description, \(z\) stands for the complex number. The \(x\) stands for the real value \(Re\) and \(y\) for the imaginary value \(Im\).
\(z = Re(x) + Im(y)\)
\(\displaystyle e^z=e^x\cdot cos(y) +e^x\cdot sin(y)\)
Example
\(z=3+5i\)
\(\displaystyle e^z = e^3\cdot cos(5) +e^3\cdot sin(5)\)
\(\displaystyle e^z = 20.086\cdot 0.284 +20.086\cdot −0.959 = 5.698−19.261i\)
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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