高一数学(再线等)

化简:y=2cosxsin(x+派/3)-根号3(sin^2 x)+sinxcosx 大家帮帮忙啊~~~
2025-12-03 17:28:44
推荐回答(1个)
回答1:

y=2*1/2[sin(2x+pi/3)+sin(pi/3)]-(3^.5)*(1-cos2x)/2+1/2*sin2x
=sin(2x+pi/3)+(3^.5)/2-(3^.5)/2+(3^.5)/2*cos2x+1/2*sin2x
=sin(2x+pi/2)+[sin(pi/3)cos2x+cos(pi/3)sin2x]
=2sin(2x+pi/3)