y=2根号3sin^2x+sin2x+1 求值域

问题描述:

y=2根号3sin^2x+sin2x+1 求值域

y=√3(1-cos2x)+sin2x+1
=1+√3+sin2x-√3cos2x
=1+√3+2sin(2x-60°)
1+√3-2