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OpenStudy (mrhoola):
Question concerning exponential forms :
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OpenStudy (mrhoola):
\[e ^{j2.5\pi + 2} = je ^{2}\]
OpenStudy (mrhoola):
I read over the chapter and wasnt able to find any information why this statement is true
OpenStudy (mrhoola):
I dont understand why it can be re written as je^2
OpenStudy (nubeer):
is it integration?
OpenStudy (mrhoola):
well , it is . here is the original problem
.. one minute please
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OpenStudy (mrhoola):
OpenStudy (mrhoola):
impulse function problem
hartnn (hartnn):
\(\Large e^{j2.5\pi }\times e^2 = (\sin 2.5\pi + j\cos 2.5\pi )e^2 = je^2\)
doubts?
OpenStudy (anonymous):
typo... \[\cos\theta + i \sin \theta = e^{i\theta}\]
OpenStudy (unklerhaukus):
sin(2.5 π) = sin (0.5 π)
cos(5/2 π) = cos(π/2)
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OpenStudy (unklerhaukus):
\[e^{ j n π } = e^{ j (n±2) π }\]
hartnn (hartnn):
thanks for pointing it out! @Redcan
\(\Large e^{j2.5\pi }\times e^2 = (\cos 2.5\pi + j\sin 2.5\pi )e^2 \\ \Large = (\cos \pi/2 + j\sin \pi/2 )e^2= je^2\)
OpenStudy (mrhoola):
@hartnn Wonderful ! Makes sense now.
OpenStudy (mrhoola):
Thanks everyone !
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