For the function $G(w) = \frac{\sqrt2}{2}-\frac{\sqrt2}{2}e^{iw},$ show that $G(w) = -\sqrt2ie^{iw/2} \sin(w/2).$
Hey everyone, I'm very new to this kind of maths and would really appreciate any help. Hopefully I can get an idea from this and apply it to other similar questions. Thank you.