Write the polar form of the complex number z given by z=6-8i.

The original given form of the complex number
is rectangular form.

We'll put the number into the polar
form.

z = a + bi

z =
6-8i

Re(z) =  6 and Im(z) =
-8

The polar form:

z = |z|(cos
t + i sin t)

|z| = sqrt[Re(z)^2 +
Im(z)^2]

|z| = sqrt [(6)^2 +
(-8)^2]

|z| = sqrt (36 +
64)

|z| = sqrt 100

|z| =
10

tan t = Im (z)/Re(z)

tan t
= -8/6

tan t = -4/3

t  =
arctan(-4/3)

The polar form of the complex
number z is: z = 10{cos [arctan(-4/3)] + i*sin
[arctan(-4/3)]}.