作业帮化简f(x)=(1-√2*cos(2x-π/4))/sin(π/2-x)
来源：学生作业帮助网 编辑：作业帮 时间：2024/10/03 15:00:49
x){34
M[
CG 5*t7hjgi F6IEi/!ǎ֎sv=];,EX"
0 ɂ!qcaJt!# [MºBA m0wu=[k Wo=F%j @ G'
化简f(x)=(1-√2*cos(2x-π/4))/sin(π/2-x)
化简f(x)=(1-√2*cos(2x-π/4))/sin(π/2-x)
化简f(x)=(1-√2*cos(2x-π/4))/sin(π/2-x)
先看分子
1-√2*cos(2x-π/4)
=1-√2[cos2xcos(π/4)+sin2xcos(π/4)]
=1-cos2x-sin2x
=2sin²x-2sinxcosx
=2sinx(sinx-cosx)
分母=cosx
原式=2tanx(sinx-cosx)