求函数单调区间
来源:学生作业学帮网 编辑:学帮网 时间:2024/05/14 16:39:15
求函数单调区间
f(x)=sin(2x-π/4)+cos(2x+3π/4)
=sin(2x-π/4)+cos(2x-π/4+π)
=sin(2x-π/4)-cos(2x-π/4)
=√2sin(2x-π/4-π/4)
=√2sin(2x-π/2)
=-√2sin2x
π/2+2kπ
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来源:学生作业学帮网 编辑:学帮网 时间:2024/05/14 16:39:15
求函数单调区间
f(x)=sin(2x-π/4)+cos(2x+3π/4)
=sin(2x-π/4)+cos(2x-π/4+π)
=sin(2x-π/4)-cos(2x-π/4)
=√2sin(2x-π/4-π/4)
=√2sin(2x-π/2)
=-√2sin2x
π/2+2kπ