How do you plot #-2# on the complex plane and write it in polar form?

1 Answer
Feb 27, 2016

Place a point at -2 on the real axis.
Polar form: (2, #pi#)

Explanation:

The complex plane consists of an imaginary and a real axis. As one would expect, the imaginary component of a number would be placed on the imaginary axis, and the real would be placed on the real axis.

Since the term -2 has no imaginary component, it is only present on the real axis at -2.

Polar coordinates are written in the form #(r,theta)#. Where #r# is the magnitude of the position vector, and #theta# is its direction in radians or degrees relative to the positive real axis.

To show -2 in polar coordinates, #r=2# and #theta= pi or 180 deg#.

This would be written as #(2,pi)#.