it is given that e^jwt=cos(wt)+jsin(wt)...(adsbygoogle = window.adsbygoogle || []).push({});

but j=1 with angle 90 degrees..now by multiplying any function by j means multiplying the magnitude by 1 and phase change of 90 degree...

so,

jsin(wt)=sin(wt)*1 with angle 90 degrees

= sin(wt+90)

=cos(wt)

so can we write e^jwt=cos(wt)+cos(wt)

=2cos(wt)

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# Doubt on e^jwt

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