Online calculator for calculating the exponent of a complex number
The function returns e to the power specified by a complex number.
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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
\(z=3+5i\)
\(\displaystyle e^z = e^3\cdot cos(5) +e^3\cdot sin(5)\)
\(\displaystyle e^z = 20.086\cdot 0.284 +20.086\cdot −0.959 = 5.698−19.261i\)
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