求函数y=2cos²x+2(根号3)sinxcosx的最值
问题描述:
求函数y=2cos²x+2(根号3)sinxcosx的最值
答
y=2(cosx)^2+2√3sinxcosx+1
=cos2x+√3sin2x+1
=2*(1/2*cos2x+√3/2*sin2x)+1
=2*(sinπ/6*cos2x+cosπ/6*sin2x)+1
=2sin(2x+π/6)+1
-1