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Q. The real part of $e^{(3+4 i) x}$ is

KEAMKEAM 2020

Solution:

$z=e^{3 x} \cdot e^{4 x i}=e^{3 x}[\cos 4 x +i \sin 4 x]$
$Re(z)=e^{3 x} \cos 4 x$