The period of the function y = tan(12x) is determined by the coefficient of x inside the tangent function.
Generally, the period of the tangent function y = tan(kx) is given by the formula:
Period = π / |k|
In the equation y = tan(12x), the value of k is 12.
Plugging this value into the formula, we get:
Period = π / |12| = π / 12
Therefore, the period of y = tan(12x) is π / 12.