Tan π/6 is equal to the ratio of sin π/6 and cos π/6. Therefore,
Tan π/6 = (sin π/6)/(cos π/6)
Since, we know, sin π/6 = ½ and cos π/6 = √3/2
By putting the value of sin π/6 and cos π/6 we get;
Tan π/6 = (½)/(√3/2) = 1/√3