Prove that e^(iθ) = cos θ + i sin θ

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eljota38
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Can anyone prove me this stament please.
 
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the proof to Euler's formula

e=cosθ+isinθ

is using taylor series for the exponential function

For any complex number z, we define ez by

ez=[itex]\sum[/itex][itex]\frac{z^n}{n!}[/itex].