2

I have this question in my notes:

enter image description here

Here is the answer:

enter image description here

How in the world do they get that starting equation for -i??

THANK YOU

Amy
  • 55

1 Answers1

1

We have $z=|z|\cdot e^{i\cdot\arg(z)}$ for any complex number $z$ where $|z|$ is its distance from the origin when drawn on the complex plane, and $\arg(z)$ is its argument, i.e. the angle of the vector $z$ closed with the right wing of the real axis.

Now, we have $\ |-i|=1\ $ and $\ \arg(-i)=3\pi/2$.

Berci
  • 90,745