How do I find the following limit?:

lim t --> 0 (tan 6t)/(sin 2t)

(The answer is 3 and I could also figure that out by plugging in t = 0.01 but I would like to know the legitimate way of doing this. My teacher taught us similar stuff but I don't think he went over this particular type of problem)

Any help would be greatly appreciated!

Thanks in advance!