0≤x≤π/2,则π/6≤2x+π/6≤7π/6-1/2≤sin(2x+π/6)≤1sin(2x+π/6)的最大值为1;最小值为-1/2。0≤x≤π/2,则π/2≤2x+π/2≤3π/2-1≤sin(2x+π/2)≤1sin(2x+π/2)的最大值为1;最小值为-1。