2Sinx=1+Cosx
4sin(x/2)cos(x/2)=2cos²(x/2)
2sin(x/2)=cos(x/2)
即tan(x/2)=sin(x/2)/cos(x/2)=1/2
∴x/2=arctan(1/2)
即x=2arctan(1/2)
tanx=tan(x/2+x/2)
=[tan(x/2)+tan(x/2)]/[1-tan²(x/2)]
=(1/2+1/2)/[1-(1/2)²]
=4/3
【中学生数理化】团队wdxf4444为您解答!