Dividing Complex Numbers - Concept

Concept Concept (1)

Sometimes when dividing complex numbers, we have to do a lot of computation. Fortunately, when dividing complex numbers in trigonometric form there is an easy formula we can use to simplify the process. To understand and fully take advantage of dividing complex numbers, or multiplying, we should be able to convert from rectangular to trigonometric form and from trigonometric to rectangular form.

Sample Sample Problems (3)

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Dividing Complex Numbers - Problem 1
Problem 1
How to simplify a quotient of two complex numbers in trigonometric form.
Dividing Complex Numbers - Problem 2
Problem 2
How to find the quotient of two complex numbers in rectangular form, z1 = 6 - 6*i and z2 = 3 + 3*i, by converting them to trigonometric form.
Dividing Complex Numbers - Problem 3
Problem 3
How to find the quotient of two complex numbers in rectangular form, z1 = 10*root(3) + 30*i and z2 = -1 + i*root(3), by converting them to trigonometric form.