Sketch the curves:

1. $$y=2\sin (2x),0\le x\le 2\pi$$
2. $$y=\cos \left(\frac{x}{3}\right)+1,0\le x\le 6\pi$$
3. $$y=\tan (x+\frac{\pi }{6}),-\pi \le x\le \pi$$

Label any intersections with the coordinate axes, maximum or minimum points, and the equation of any asymptotes.