Complex sine function
= Complex sine function
{title2=$\sin z$}
The complex sine is the entire function
$$
\sin z=\frac{e^{iz}-e^{-iz}}{2i}.
$$
For real $x,y$, $\sin(x+iy)=\sin x\cosh y+i\cos x\sinh y$.
= Complex sine function
{title2=$\sin z$}
The complex sine is the entire function
$$
\sin z=\frac{e^{iz}-e^{-iz}}{2i}.
$$
For real $x,y$, $\sin(x+iy)=\sin x\cosh y+i\cos x\sinh y$.