设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|

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设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>

设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|

设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
f(x)=sin(wx+φ)+cos(wx+φ)
=√2*(√2/2)*sin(wx+φ)+√2*(√2/2)*cos(wx+φ)
=√2sin(wx+φ)cosπ/4+√2cos(wx+φ)sinπ/4
=√2[sin(wx+φ)cosπ/4+cos(wx+φ)sinπ/4]
=√2sin(wx+φ+π/4)