In[2]:= Reduce[Sin[x + I y] == 0, {x, y}] Out[2]= C[1] \[Element] Integers && (y == I x - 2 I \[Pi] C[1] || y == I x - I (\[Pi] + 2 \[Pi] C[1]))
Solve heads to algebraic equation (Systems), Reduce to transcendent ones. See also FindInstance, please.
Solve
Reduce
