Mod/arg roots question (1 Viewer)

[cutemouse]

Hi guys,

I know that if the angle of the roots (ie. argument) adds up to 2pi, then they are conjugates.

For example, if z₁=cis(pi/2) and z₂=cis(3pi/2) then z₂ is a conjugate of z₁...

Now, I've noticed that if the angles add upto pi, then the real part of one root and the other root are opposite in signs... What would that be called, and what does it mean?

For example, if z₁=cis(pi/4) and z₂=cis(3pi/4), then the real part of them are opposite in sign...

Thanks

 

[azureus88]

it means that z2 is z1 rotated by pi/2. (z2=iz1)