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October 26th, 2013, 09:32 AM  #1 
Newbie Joined: Oct 2013 Posts: 2 Thanks: 0  Complex Numbers question (de Moivres)
Can anyone help me with this problem? In the attached photo, I have highlighted the area I need help with. I don't understand what happens to the ^1/4 , and how it changes the other numbers.  e.g.: why does the 2n(pi) change to pi(n)/2 I have an idea of what happens, but I would like a proper explanation and why it happens so I can know it better. 
October 26th, 2013, 09:58 AM  #2 
Senior Member Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116  Re: Complex Numbers question (de Moivres)
DeMoivre's formula says that: This also works for 1/n in the sense that: So, the 1/4 has gone inside the sin and cos. 
October 26th, 2013, 10:55 AM  #3  
Newbie Joined: Oct 2013 Posts: 2 Thanks: 0  Re: Complex Numbers question (de Moivres) Quote:
 

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