问题标题:
【已知函数f(x)=2√3sinxcosx+2cos^2x-1若f(Xo)=6/5,Xo属于【π/4,π/2】,求cos2Xo的值】
问题描述:
已知函数f(x)=2√3sinxcosx+2cos^2x-1
若f(Xo)=6/5,Xo属于【π/4,π/2】,求cos2Xo的值
沈兵虎回答:
f(x)=√3sin2x+cos2x=2sin(2x+π/6)sin(2x0+π/6)=3/5
Xo属于【π/4,π/2】2x0+π/6∈[2π/3,7π/6]cos(2x0+π/6)=-4/5
cos2Xo=cos[(2x0+π/6)-π/6]=-4√3/10+3/10=(3-4√3)/10
查看更多