圖片參考：http://upload.wikimedia.org/math/5/8/2/58286c43764bab6e99651b89d8b33067.png
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更新1:
what does @ mean?
Prove Euler\'s identity
2010-03-04 5:50 am
How to improve
圖片參考：http://upload.wikimedia.org/math/5/8/2/58286c43764bab6e99651b89d8b33067.png
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圖片參考：http://upload.wikimedia.org/math/5/8/2/58286c43764bab6e99651b89d8b33067.png
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回答 (2)
2010-03-04 6:03 am
✔ 最佳答案
By Euler formula,e^(i@) = cos@ + isin@
So, e^(i pi) = cospi + isinpi = -1 + i(0) = -1
So, e^(i pi) + 1 = -1 + 1 = 0
參考: Physics king
2010-03-05 8:35 am
@ is theta
2010-03-05 00:36:27 補充：
if you want to prove Euler's formula first, go to wiki
there are 3 proves
2010-03-05 00:36:27 補充：
if you want to prove Euler's formula first, go to wiki
there are 3 proves
收錄日期: 2021-04-19 21:31:19
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100303000051KK01589