函数y=sin2x-根号3 cos2x 的值域为

问题描述:

函数y=sin2x-根号3 cos2x 的值域为

y=2(sin2x*1/2-cos2x*√3/2)
=2(sin2xcosπ/3-cos2xsinπ/3)
=2sin(2x-π/3)
所以值域是[-2,2]

y=sin2x-根号3 cos2x
=2sin(2x-π/3)
所以值域为[-2,2]

y=sin2x-√3 cos2x
=2(1/2sin2x-√3/2cos2x)
=2(sin2x*cos60°-cos2x*sin60°)
=2sin(2x-60°)
值域:[-2,2]