Find the value of `tan((19pi)/3)`

Explanation

We know that the values of tanx repeats after an interval of .2 pi.
.therefore tan (19 pi)/(3)=tan (6 pi+(pi)/(3))=tan (pi)/(3)=sqrt(3)[because (19 pi)/(3)=(18 pi+pi)/(3])=6 pi+(pi)/(3)].