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Prove the results of exp(ix)=cos(x) +i sin(x) and cos(x)=(e^ix+e^-ix)/2

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No titleEuler complex ix equation sine wave graph function exponential spring shaped cos math sin fft mirrored why stack number real Applications of euler’s formula – ozaner hansha – mediumProve the results of exp(ix)=cos(x) +i sin(x) and cos(x)=(e^ix+e^-ix)/2.