cos(2X+π⼀4)化为sin和-cos(2X+π⼀4)化为sin详细一点谢谢啦

2025-01-31 10:58:24
推荐回答(2个)
回答1:

用诱导公式:
cos(2x + π/2 - π/4)=cos[π/2 + (2x - π/4)]
=-sin(2x - π/4)

回答2:

cos(2x+π/4)=cos2x·√2/2-sin2x·√2/2=-sin(2x-π/4)
-cos(2x+π/4)=-(cos2x·√2/2-sin2x·√2/2)=sin2x·√2/2-cos2x·√2/2=sin(2x-π/4)