已知函数f(x)=sin(2x+π/6)+2sin^2(x+π/6)-2cos^2x+a-1化简
问题描述:
已知函数f(x)=sin(2x+π/6)+2sin^2(x+π/6)-2cos^2x+a-1
化简
答
f(x)=√3/2sin2x+1/2cos2x+1-cos(2x+π/3)-(1+cos2x )+a-1=√3sin2x-cos2x+a-1=2sin(2x-π/6)+a-1