函数y=sin2π-√3cos2x(-π/6≤x≤π/6)的值域为()

函数y=sin2π-√3cos2x(-π/6≤x≤π/6)的值域为()
A、[-2,2]
B、[-2,0]
C、[0,2]
D、[-√3,0]
【正确答案】:B
【题目解析】:sin2x-√3cos2x=2sin(2x-π/3),而2x-π/3∈[-(2π/3),0],所以当2x-π/3取-(π/2)时,Y取得最小值-2,取0时取得最大值0.