函数y=4sin(wx +π/4)cos(wx-π/4)-2sin(wx-π/4)cos(wx+π/4)(w>0)化简
问题描述:
函数y=4sin(wx +π/4)cos(wx-π/4)-2sin(wx-π/4)cos(wx+π/4)(w>0)化简
答
y=2sin(wx+π/4)cos(wx-π/4)-2cos(wx+π/4)sin(wx-π/4)+2sin(wx+π/4)cos(wx-π/4)=2sin[(wx+π/4)-(wx-π/4)]+2sin(wx+π/2-π/4)cos(wx-π/4)=2sin(π/2)+2cos²(wx-π/4)=2+2cos²(wx-π/4)=3+2cos...