How do you evaluate the square and products of 5e^(3(pi)i)/4 in polar form?

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Homework Help Overview

The discussion revolves around evaluating the square and products of the complex number 5e^(3(pi)i)/4 in polar form, without converting to Cartesian coordinates.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore the implications of the given equation e^i(theta) = cos(theta) + isin(theta) and its relevance to the problem. There is uncertainty regarding the interpretation of "three different products" mentioned in the original post, leading to further questions about what is specifically required.

Discussion Status

Some participants have provided insights into the properties of exponentials in polar form, while others are seeking clarification on the specific requirements of the problem. The conversation reflects a mix of attempts to interpret the problem and questions about the terminology used.

Contextual Notes

There is a noted constraint of not using Cartesian form for the evaluation, which may influence the approaches discussed. The original poster expresses a lack of understanding, indicating potential gaps in foundational knowledge related to complex numbers.

seboastien
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Homework Statement


Evaluate the square 0f 5e^(3(pi)i)/4 without using Cartesian form, and also the three different products.


Homework Equations


e^i(theta) = cos(theta) + isin(theta)?


The Attempt at a Solution


I have absolutely no idea here, nothing in my notes even begins to suggest how I can answer this.
 
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All you really need to know is the equation you listed. The square of e^x is (e^x)^2=e^(2x), use this information to solve your problem.
 
yes but what do they mean by the 3 products?
 
With not using the three products I would guess they mean to not use:

[tex] (\cos x+i\sin x)^2=\cos^2x-\sin^2 x+2i\cos x \sin x[/tex]
 
it says to evaluate the three products of the complex number
 
Then just remove the 'nots' in my previous post.
 

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