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Consider these four points on the unit circle in the complex plane: 1, i, -1, -i. Make a single plot showing all four of them in the complex plane and write each of them in the standard polar form z= Aete, with 0 ≤ 0<2π. Show what you get when you multiply each of them by i.

Consider these four points on the unit circle in the complex plane: 1, i, -1, -i. Make a single plot showing all four of them in the complex plane and write each of them in the standard polar form z= Aete, with 0 ≤ 0<2π. Show what you get when you multiply each of them by i.

Advanced Engineering Mathematics
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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Help me with this problem, assuming I have no prior knowledge of complex numbers.

Consider these four points on the unit circle in the complex plane: 1, i, -1, -i. Make a single plot showing all four of them in the complex plane and write each of them in the standard polar form z = Aete, with 0 ≤ 0<2π. Show what you get when you multiply each of them by i.
Transcribed Image Text:Consider these four points on the unit circle in the complex plane: 1, i, -1, -i. Make a single plot showing all four of them in the complex plane and write each of them in the standard polar form z = Aete, with 0 ≤ 0<2π. Show what you get when you multiply each of them by i.
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