Sine of a complex number
Online calculator for calculating the sine of a complex number
This function returns the sine for an angle specified as a complex number.
To perform the calculation, enter the complex number. Then click on the 'Calculate' button.
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Formulas of the sine of a complex number
In the following description, \(z\) stands for the complex number. \(x\) stands for the real value \(Re\) and \(y\) for the imaginary value \(Im\).
\(sin(z) = sin(x) · cosh(y) + cos(x) · sinh(y)\)
Example
\(sin(z) = sin(3+5i)\)
\(Re = sin(3) · cosh(5) =10.473\) \(Im = cos(3) · sinh(5) =-73.461\)
\(cos(3+5i) = 10.473 -73.461i\)
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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