Complex numbers in polar form

  • Thread starter seboastien
  • Start date
  • #1
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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.
 

Answers and Replies

  • #2
Cyosis
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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.
 
  • #3
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yes but what do they mean by the 3 products?
 
  • #4
Cyosis
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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]
 
  • #5
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it says to evaluate the three products of the complex number
 
  • #6
Cyosis
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Then just remove the 'nots' in my previous post.
 

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