What is the angle of a complex number?

[l2udolph]

Help me please. I'm not sure how to do this.. Can you tell me about imaginary numbers?
I'm supposed to calculate the angle of z=6-5i
How do I do this?

 

[berkeman]

Help me please. I'm not sure how to do this.. Can you tell me about imaginary numbers?
I'm supposed to calculate the angle of z=6-5i
How do I do this?

Actually, that is a complex number, with real and imaginary parts. This article should help you figure out how to find the angle between the complex number vector and the x-axis:

http://en.wikipedia.org/wiki/Complex_numbers

.

 

[HallsofIvy]

The "angle" of a complex number, z, more commonly called its "argument", is the angle the line from 0 to z, in the complex plane, makes with the positive real axis.
$$tan(\theta)= \frac{Im(z)}{Re(z)}$$