Complex exponentials spin

[@SlovenskiVuk]

The point of the cos(wt)=1/2(e^jwt+e^-jwt) is that both e numbers move at the same angular speed of w in opposite direction. That makes complex component on the y axis(otherwise jsin(wt)) cancel each other out, which leaves two cos(wt) projections, we devide it by 2 and it gives us the cos(wt) value.

[@simsim2028]

Best explanation so far! Cheers mate!

[@curtpiazza1688]

Great presentation! I like how you tie in the concepts to electrical signals. Give you a good background for EE!

[@DarkOdyssey_00]

Omega is angular frequency, with the unit rad/sec, not normal frequency

[@curtpiazza1688]

Great SPIN on an often confusing topic! 😊🎉

[@imrozzahan7328]

Learn this if you want to learn quantum mechanics. Great!

[@kilimnik1983]

A big thank you

[@debendragurung3033]

ok but what does (+) operatioin imply here..

[@TjipzPK]

cos(jwt) = (e^jwt+e^-jwt)/2 Think of e^jw and e^-jw as two vectors being added together. Take the tip of one vector and add it to the tail of the other. We divide by 2 to stay between -1 and 1 on the real axis. Hope this helps.

[@MJ12475]

debendra gurung i got confused as well just watch the next video of the playlist it will make more sense

[@Titurel]

Life for students would be easier it instead of calling them imaginary numbers they were call rotational numbers

[@alanmarshall1090]

Or two dimensional numbers.

[@davidmuhr4095]

Gauss vouched for lateral instead of imaginary :)

[@harkankarakaya5168]

Why are you trying to turn sine against cosine?

[@antoniussugianto7973]

Can someone explain what 3^i and i^i mean exactly geometrically in the complex plane ?