We learned a method for multiplying two complex numbers written in polar form. But, you learned how to multiply complex numbers in rectangular form back in Pre Calc. Below, I will do an example showing how you get the same answer either way. Your task is to make up your own example and do the work showing that YOU get the same answer. Make sure to show all your steps!

We learned a method for multiplying two complex numbers written in polar form. But, you learned how to multiply complex numbers in rectangular form back in Pre Calc. Below, I will do an example showing how you get the same answer either way. Your task is to make up your own example and do the work showing that YOU get the same answer. Make sure to show all your steps!

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section: Chapter Questions

Problem 1T

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Make up your own example and do the work showing YOU get the same answer. Make sure to show all your steps!

We learned a method for multiplying two complex numbers written in polar form. But, you learned how to multiply complex numbers in rectangular
form back in Pre Calc. Below, I will do an example showing how you get the same answer either way. Your task is to make up your own example and
do the work showing that YOU get the same answer. Make sure to show all your steps!
My example: Multiply
(3+ 41) (-2 + 5i)
"Old Way": -- 6 - 81 + 151 + 20i2
- - 26 + 71
(Here, I am simply foiling)
"New Way": (3 + 41) is in rectangular form.
Changing to polar form: 5 ( cos 53.13 degrees +i sin 53.13 degrees)
(-2 + 51) is SqRt 29( cos 111.8 degrees + i sin 111.8 degrees)
Multiplying these two in polar form gives us 5 SqRt 29 ( cos 164.93 degrees +i sin 164.93 degrees) - -26 + 71 !!

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