知道sin(x+π⼀4)=4⼀5 怎么求cos(x-π⼀4)和tan(x-π⼀4)啊

2025-12-14 03:44:27
推荐回答(1个)
回答1:

cos(x-π/4)
=cos(π/4-x)
=sin[π/2-(π/4-x)]
=sin(x+π/4)
=4/5

sin²(x-π/4)+cos²(x-π/4)=0
所以sin(x-π/4)=±3/5
所以tan(x-π/4)=sin(x-π/4)/cpos(x-π/4)=±3/4