I know there's a difference between actually proving something and saying "it's just intuitively clear" -- but it's just intuitively clear than sin and cos are each other's derivatives (give or take a minus sign). :-) #atleastonceyougraphthem
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I agree with you, and I don’t think symbolic manipulation is a replacement for intuition. I just thought it was a fun little way to derive it
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perhaps not the best caption, but I had fun with the proof
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This is a very interesting way of getting the derivatives of trigonometric functions using Euler's formula. I usually go about it in a different way by using the identities Cos x=(e^ix+e^-ix)/2 and sin x=(e^ix-e^-ix)/2i.pic.twitter.com/e9eIWQwahw
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Well now you have a quicker way :)
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Its so easy to memorize though. It’s already permanent in my brain
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Perhaps 10 years from now, when you're giving a lecture panicking an the whiteboard because you forgot, you can show them this trick and act like you knew it all along
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Love this
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Thanks! I thought of it while sitting in traffic
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