Copyright © University of Cambridge. All rights reserved.
'Thousand Words' printed from https://nrich.maths.org/
The whole point of the question is for you to find the right
diagrams. You need to know that the distance between two points $a$
and $b$ in the complex plane (Argand Diagram) is given by
$|a-b|$.
By definition $e^{i\alpha}= \cos \alpha + i\sin \alpha$ so
where does this lie in the complex plane? Now what about
$e^{i\beta}$?