A hint to get started
Rotations on an Argand diagram
The point represents a fixed complex number where . The complex numbers and are represented by the points and respectively.
On a single clearly labelled Argand diagram, mark the points , and .
Describe the geometrical relationship between
(a) and , and
(b) and .
[2023/TJC_NYJC_VJC/FM/I/6(modified)]
CJC · Discussion · Question 9
Multiplying by −i changes the argument by −π/2 and leaves the modulus unchanged.