The problem wants me to solve sin(z)=2by equating the real and imaginary parts.

Using $\displaystyle sin(z)=sin(x+iy)$, the definition of sin(z), and some algebra, I've gotten as far as:

$\displaystyle e^{xi}e^{-y}-e^ye^{-ix}=4i$.

This is where I'm stuck. I know I'll have to set the imaginary part to 4 and the real part to 0, but how do I separate them from this point...?