SackVideo
Region: US
Wednesday 28 May 2025 12:53:43 GMT
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Tonio Loewald :
You can also just use the unit circle definitions of cosine and sine. No calculus or infinite sums needed.
2025-05-28 13:07:50
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Math4Fun :
that's a very nice approach
2025-05-28 16:10:17
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oreyadh :
Nice approach!!!
2025-06-02 21:37:24
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yako :
i know a better way... just use sin²x + cos²x = 1 at the start
2025-05-29 08:55:58
4
hm 1:45 thì đổi tên :
aren't sine and cosine defined by power series?
2025-05-28 17:22:12
1
turgutmakbak :
e^{log(1/(1-x)}=1/(1-x) says every permutation has a unique cycle decomposition
2025-05-28 23:49:49
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Sean Kelly6316 :
Indeed that's kinda what they tend to do in complex analysis
2025-05-28 23:03:15
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Ben Dixon :
Did a proof of this for an extra credit problem in calc 2, and it was a beautiful moment of watching it all come together towards the end. One of my favorite math stories/experiences
2025-05-28 22:46:23
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Rangsk :
Cool!
2025-05-28 20:09:50
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uhhhhhh;) :
So cool
2025-05-28 18:35:07
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rx math :
cool! I just posted yesterday about something similar with these power series
2025-05-28 15:47:49
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lesser_d :
Reminds me of using power series to prove Euler’s identity, e^(i*pi) = -1
2025-05-30 11:55:38
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Leon :
You can also easily get e^ix=cosx + isinx from this, use difference of squares on c^2+s^2 to get (c+is)(c-is) which is just(e^ix)(e^-ix) which is 1 by rules of exponents
2025-05-31 09:32:00
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Nuumath Tutoring :
Very cool !
2025-05-30 20:32:31
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AddYourNickname :
nifty
2025-05-29 12:01:39
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Elephoont :
I'm confused on that last step. How does f(0)=1 mean that f(x)=1 for all values of x?
2025-05-30 01:45:52
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Rohit :
pretty neat
2025-05-29 04:35:00
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Min Khant82503 :
😁
2025-06-03 17:33:40
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sagedtwins :
😁
2025-05-29 22:06:30
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Viper :
STOP IT IVE DONE MY CORE PURE EXAM I DONT WANT TO SEE MACLAURIN AGAIN
2025-05-29 22:51:34
0
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