Today I learned how to derive Euler's identity...

Congratulations! Today is also a great day for me, i've learned the generalized stokes' theorem proof. Understanding those cool theorems is what makes me love math
Congratulations! Have a happy seal. Imagine it pushed its way through the ice and now it enjoys the sun on its face, just like you pushed through difficulty and self-doubt to enjoy some of the secret beauty of our universe.
My favorite proofs of trancendental identies these days come down to the fact that solutions of linear differential equations with constant coefficients can be expressed in terms of a basis.

Since sine and cosine satisfy f’’=-f, then any solution of that differential equation can be written as f(t)=a cos(t)+ b sin(t). Since e^it is also a solution:

e^it = a cos(t)+b sin(t)

taking the derivative we also have

ie^it = -a sin(t)+b cos(t)

and setting t=0 in both equations says

a = 1, b = i

as required.
I heard someone stole Euler's identity and opened a bunch of credit cards.  Turns out his Social Security number is the third Mersenne composite.
Love that for you!
Really bad joke based on the title alone tho..

"Ya just go and as him, about his identity".
Yeah!  Just don't drink and derive.
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Oh man. I barely graduated high school, but always excelled at math. During Covid quarantine I started watching math tutorials on YouTube. I somehow intuitively gained an understanding of Euler's identity. I can't believe that amazing little expression holds so much information.
Don't tell anyone: it's Leonhard.

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