1 trigonometry Q

2011-08-16 11:22 pm
Find x,(cos x)^2+cos x-(sin x)^2=0

回答 (1)

2011-08-16 11:32 pm
✔ 最佳答案
Find x,Cos^2 x+Cosx-Sin^2 x=0
Sol
Cos^2 x+Cosx-Sin^2 x=0
Cos^2 x-Cosx-(1-Cos^2 x)=0
2Cos^2 x-Cosx-1=0
(2Cosx+1)(Cosx-1)=0
Cosx=-1/2 or Cosx=1
x=2nπ+/-2π/3 or x=2nπ,n is integer




收錄日期: 2021-04-15 15:29:13
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110816000051KK00703

檢視 Wayback Machine 備份