F.4 TRIGONOMETRY M2

2011-03-14 6:52 am
PROVE THE FOLLOWINGS

TAN A+TAN B = SEC^2 A-SEC^2 B/TAN A-TAN B

回答 (2)

2011-03-14 7:03 am
✔ 最佳答案
SEC^2 A-SEC^2 B/(TAN A-TAN B)
=[(TAN^2 A+1)-(TAN^2 B+1)]/(TAN A-TAN B)
=(TAN^2 A-TAN^2 B)/(TAN A-TAN B)
=[(TAN A+TAN B)(TAN A-TAN B)]/(TAN A-TAN B)
=TAN A+TAN B
2011-03-16 9:29 pm
SEC^2 A-SEC^2 B/(TAN A-TAN B) =[(TAN^2 A+1)-(TAN^2 B+1)]/(TAN A-TAN B) =(TAN^2 A-TAN^2 B)/(TAN A-TAN B) =[(TAN A+TAN B)(TAN A-TAN B)]/(TAN A-TAN B) =TAN A+TAN B

I hope this answer can help you!!!!
參考: mine


收錄日期: 2021-04-22 00:53:52
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110313000051KK01679

檢視 Wayback Machine 備份