怎麼找y=sin(x)和y=cos(x)的交差點?怎麼找y=sin(x)和y=cos(x)的交差點?怎麼找y=sin(x)和y=cos(x)的交差點?
2006-01-21 11:13:26 · 3 個解答 · 發問者 changchih 7 in 科學 ➔ 數學
怎麼找y=sin(x)和y=cos(x)的第一個交差點,
0 < x < п/2
2006-01-21 11:21:11 · update #1
令 sin(x)=cos(x)=> sin(x)-cos(x)=0=> (1/√2)sin(x)-(1/√2)cos(x)=0=> sin(x)cos(π/4)-cos(x)sin(π/4)=0=> sin(x-π/4)=0=> x-π/4=0=> x=π/4
2006-01-21 14:16:48 · answer #1 · answered by 蔡春益 7 · 0⤊ 0⤋
pi / 4
pi / 4
pi / 4
pi / 4
2006-01-21 11:23:24 · answer #2 · answered by Jason 3 · 0⤊ 0⤋
sin(x)=cos(x)
=> tan(x)=1
=>x=π/4
2006-01-21 11:22:58 · answer #3 · answered by RAY 2 · 0⤊ 0⤋