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Evaluate e to the power of i.pi

 Jul 9, 2015

Best Answer 

 #1
avatar+30088 
+10

We have 

 

$$e^{i\pi}=-1$$

 

This is one form of Euler's well known relationship.

 

$$e^{i\pi}\rightarrow \cos{\pi}+i\times\sin{\pi}\rightarrow -1+i\times0\rightarrow-1$$

.

 Jul 9, 2015
 #1
avatar+30088 
+10
Best Answer

We have 

 

$$e^{i\pi}=-1$$

 

This is one form of Euler's well known relationship.

 

$$e^{i\pi}\rightarrow \cos{\pi}+i\times\sin{\pi}\rightarrow -1+i\times0\rightarrow-1$$

.

Alan Jul 9, 2015

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