Express the number 2/3 – 8i in the form R(cos(0)+ i sin(0)) = Reo, where R> 0 and -T <0
Express the number 2/3 – 8i in the form R(cos(0)+ i sin(0)) = Reo, where R> 0 and -T <0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Express the number \(2\sqrt{3} - 8i\) in the form \(R(\cos(\theta) + i\sin(\theta)) = Re^{i\theta}\), where \(R > 0\) and \(-\pi \leq \theta \leq \pi\).
**NOTE:** Round the value of \(\theta\) to exactly two decimal places.
\[2\sqrt{3} - 8i = \boxed{\phantom{R(\cos(\theta) + i\sin(\theta)) = Re^{i\theta}}}\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bff7fb0-7afb-4d12-af99-7cba91505041%2F889372ea-ee2f-4719-8eb1-5f0d72da2c77%2F4e7a7vr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Express the number \(2\sqrt{3} - 8i\) in the form \(R(\cos(\theta) + i\sin(\theta)) = Re^{i\theta}\), where \(R > 0\) and \(-\pi \leq \theta \leq \pi\).
**NOTE:** Round the value of \(\theta\) to exactly two decimal places.
\[2\sqrt{3} - 8i = \boxed{\phantom{R(\cos(\theta) + i\sin(\theta)) = Re^{i\theta}}}\]
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