化简f(x)=2又根号3sin(wx/2)cos(wx/2)-2sin^2wx/2

问题描述:

化简f(x)=2又根号3sin(wx/2)cos(wx/2)-2sin^2wx/2

f(x)=2又根号3sin(wx/2)cos(wx/2)-2sin^2wx/2
=根号3sinwx+(1-2sin^2wx/2)-1
=根号3sinwx+coswx-1
=2(sinwx*cosπ/6+coswx*sinπ/6)-1
=2sin(wx+π/6)-1