f(x)=sin(2x+π/6)+2sin(x-π/4)sin(x+π/4) 怎么化简为形函数

问题描述:

f(x)=sin(2x+π/6)+2sin(x-π/4)sin(x+π/4) 怎么化简为形函数

f(x)=sin(2x+π/6)+2sin(x-π/4)sin(x+π/4)=sin(2x+π/6)+cos[(x-π/4)-(x+π/4)]-cos[(x-π/4)+(x+π/4)]=sin(2x+π/6)+cos(-π/2)-cos2x=sin(2x+π/6)-cos2x=sin2x*cos(π/6)+cos2x*sin(π/6)-cos2x=sin2x*(√3/...