Dean T.

asked • 04/29/18

Find the product

Find the product. Write the product in rectangular form, using exact values.

[4 cis 300°] [5 cis 120°]

1 Expert Answer

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Kenneth S. answered • 04/29/18

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= 20 cis 420o = 20 cis 60o 
Can you complete this task now?
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Dean T.

What did you do?
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04/29/18

Kenneth S.

What did I do?  I did what DeMoivre's Theorem suggests:  For two complex numbers  r cis θ and s cis ω their product is
rs cis (θ+ω).  Then I removed one full rotation (360 degrees) from the angle sum.
 
I advise you to study the theorems carefully, with attention to worked examples in the textbook.
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04/30/18

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