Determine the period of y=tan(3x)
The period of y = tan(3x) can be determined by considering the period of the parent function, y = tan(x), and applying the necessary transformation.
The period of y = tan(x) is π, which means it completes one full cycle in the interval from 0 to π. The graph of y = tan(x) repeats itself every π units.
In the given function, y = tan(3x), the x -values are scaled down by a factor of 3 compared to the parent function. This means that the graph of y = tan(3x) completes one full cycle in the interval from 0 to π/3.
Therefore, the period of y = tan(3x) is π/3.