The period of the function, y = tan(kx), where k is a constant, is given by the formula:
Period = π / k
In your case, the function is y = tan(12x). Here, k is equal to 12. To find the period, we can substitute the value of k into the formula:
Period = π / 12
This calculation means that the period of the function y = tan(12x) is π / 12, which is approximately equal to 0.2618 radians or 15 degrees.
Essentially, this means that the graph of the tangent function will repeat itself every π / 12 radians. Keep in mind that the tangent function, unlike sine and cosine, has vertical asymptotes where it is undefined, occurring at odd multiples of π/2, which will also be influenced by the period of the function.