Hi & thanks - this sounds real good, but when I try what you have - "reduce [ sin[x+Iy]==0, {x,y}] ", I still get the error '1-y is not a valid variable. '? I think I have cleared all variables etc., so not sure what needs fixing my end?
I also tried "FindInstance [ sin[x+Iy]==0, {x,y}, Complexes]" - but got a wrong answer -
{{y -> ConditionalExpression[
1/2 (1 - 2 \[Pi] C[1] + I (1 - 2 \[Pi] C[1])),
C[1] \[Element] Integers]}, {y ->
ConditionalExpression[
1/2 (1 - \[Pi] - 2 \[Pi] C[1] + I (1 - \[Pi] - 2 \[Pi] C[1])),
C[1] \[Element] Integers]}}
It should be x=n[pi], y=0.....?
Thanks