Question

Polar form of complex numbers
Which is shown in the graph?

2(cos(-45)+i sin(-45))
or
-2(cos(135)+i sin(135))

Answer 1

I don't get it...don't they equal each other? So how do I know which is the correct one?

Answer 2

\( r (\cos \theta + i \sin \theta)\)

move in the angle \( \theta \), if r is negative ... plot in opposite direction

-2(cos(135)+i sin(135)) must be


2(cos(-45)+i sin(-45)) must be


It seems both are equialent