How is Euler’s Formula/Identity practical?

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For those who don’t know, and correct me if I’m wrong, Euler’s Formula is e^(xi) = cos(x) + isin(x) and Euler’s Identity is where “x” is equal to pi, therefore e^(πi) = -1. It’s fascinating to me how something so complex can be equal to something so simple (talking about Euler’s Identity). But what I don’t get is how they’re practical. What are they used for, and why are they important?

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Anonymous 0 Comments

For me, what’s beautiful about Euler’s identity is that, when written as e^(πi)+1=0, it ties together the ~~four~~ five most fundamental numbers. I think that’s pretty cool.