函数y=sin2/3X+cos(2/3x-π/6)的图象的相邻两条对称轴之间的距离是

函数y=sin2/3X+cos(2/3x-π/6)的图象的相邻两条对称轴之间的距离是
函数y=sin2/3X+cos(2/3x-π/6)的图象的相邻两条对称轴之间的距离是

函数y=sin2/3X+cos(2/3x-π/6)的图象的相邻两条对称轴之间的距离是
为方便,记2x/3=t
sint+cos(t-pi/6)=sint+根号3cost/2+sint/2
=根号3sin(t+pi/6)
=根号3sin(2x/3+pi/6)
两对称轴之间相距为半个周期,周期为3pi,所求为3pi/2