# Hyperbolic sine of a complex number

Calculator for the hyperbolic sine of a complex number

## Hyperbolic sine calculator

This function returns the hyperbolic sine for an angle specified as a complex number.
The Sinh function for real numbers can be found here

To perform the calculation, enter the complex number. Then click on the 'Calculate' button.

Calculate sinh a complex number

 Input Complex number + i Decimal places 0 1 2 3 4 6 8 10 Result Sine

## Hyperbolic 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 $$Im$$.

$$sinh(z) = sinh(x) · cos(y) + cosh(x) · sin(y)$$

Beispiel

$$sinh(z) = sinh(3+5i)$$

$$Re = sinh(3) · cos(5) =2.842$$     $$Im = cosh(3) · sin(5) =9.654$$

$$sinh(3+5i) = 2.842-9.654i$$
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