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Given the complex number 2₁ = 6( cos + i sin ) and Z2 = 2 ( cos + i sin ), express the result of 2₁ 22 in rectangular form with ful 20 simplified fractions and radicals.

Given the complex number 2₁ = 6( cos + i sin ) and Z2 = 2 ( cos + i sin ), express the result of 2₁ 22 in rectangular form with ful 20 simplified fractions and radicals.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 26E
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Given the complex number \( z_1 = 6 \left( \cos \frac{\pi}{5} + i \sin \frac{\pi}{5} \right) \) and \( z_2 = 2 \left( \cos \frac{\pi}{20} + i \sin \frac{\pi}{20} \right) \), express the result of \( z_1 z_2 \) in rectangular form with fully simplified fractions and radicals.
Transcribed Image Text:Given the complex number \( z_1 = 6 \left( \cos \frac{\pi}{5} + i \sin \frac{\pi}{5} \right) \) and \( z_2 = 2 \left( \cos \frac{\pi}{20} + i \sin \frac{\pi}{20} \right) \), express the result of \( z_1 z_2 \) in rectangular form with fully simplified fractions and radicals.
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