Difference between revisions of "Euler's formula"

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==References==
 
==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm at -i|next=e is limit of (1+1/n)^n}}: 4.1.16
 

Revision as of 04:12, 7 June 2016

Theorem

The following formula holds: $$e^{iz}=\cos(z)+i\sin(z),$$ where $e^{iz}$ denotes the exponential function, $\cos$ denotes the cosine, $i$ denotes the imaginary number, and $\sin$ denotes the sine.

Proof

References