Euler's identity (e^ix= cos x + i sin x ) explained

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Why does e^ix= cos x + i sin x hold true? Watch...
  1. Daniel An
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I had actually never bothered to find this out because I just assumed the complexity would be way beyond what a measly engineering student would understand but that was simple enough! Thanks so much for this

smizmi
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Euler was one of the best mathematicians in human history. Imagine attending one of his lectures 🤯

nicholasciacca
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Thank you very much for your explanations. I am always learning something new and useful with you.

olivioarmandocordeirojunio
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Hey, but can't this formula be e^ix=cosx-sinx because √-1x√1-cos^2x= √-Sin^2x which is √Sin^2(-x).
Then e^ix=cosx+sin(-x) which should be cox-sinx.

konoveldorada