Trig. Identity

2011-11-01 4:42 am
Is it true that cos^4 x = ( 4 cos2x + cos4x + 3)/8 ? Please prove.

回答 (1)

2011-11-01 4:54 am
✔ 最佳答案
cos⁴x= (cos² x)² = ( (cos 2x + 1)/2 )² = (cos² 2x + 2 cos 2x + 1) / 4 = ((cos 4x + 1)/2 + 2 cos 2x + 1) / 4 = ( cos 4x + 1 + 4 cos 2x + 2 ) / 8= (4 cos 2x + cos 4x + 3) / 8True.


收錄日期: 2021-04-21 22:22:35
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111031000051KK00851

檢視 Wayback Machine 備份