化简:sin(x+60°)+2sin(x-60°)-√3cos(120°-x)=
问题描述:
化简:sin(x+60°)+2sin(x-60°)-√3cos(120°-x)=
答
Sin(x+60)+2sin(x-60)-√3cos(120-x)
=(sinxcos60+cosxsin60)+2(sinxcos60-cosxsin60)-√3(cos120cosx+sin120sinx)
=1/2sinx+√3/2cosx+sinx-√3cosx+√3/2cosx-3/2sinx
=0