Use result that composition of analytic functions is harmonic to find harmonic conjugate of $e^{-2xy}\sin (x^{2}-y^{2})$

Question

Using this result, I need to find a harmonic conjugate for $e^{-2xy}\sin(x^{2}-y^{2})$.

In that result, I'm supposing that $s = e^{-2xy}$ and $t = \sin(x^{2}-y^{2})$, but I really don't know how to use it to figure out anything else, and I'm starting to panic. Please help me figure out what I'm supposed to do!!

Answer 1

HINT: What analytic function has real part $e^u\cos v$ and imaginary part $e^u\sin v$ (if $z=u+iv$)?