How would I plot $e^{(i (\frac{1}{2}+2k))}$ where $k \in \Bbb Z$ my initial thought would that it would just be points on the imaginary axis but now for some reason I'm thinking that it could be a circle but I'm unsure what the radius should be
2026-05-04 20:56:11.1777928171
Plotting complex value on an Argand diagram
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radius is $r=1$ as general form is $z=re^{i\theta}$ In your plot the angle is $\theta=\frac12+2k$ and the plot is like the one in the picture below
Hope this helps
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