find the period. y = tan(6x - π/6) graph the function.

Explanation:

Step1: Recall tangent - function period formula

The period of the tangent function $y = A\tan(Bx - C)+D$ is given by $T=\frac{\pi}{|B|}$.

Step2: Identify the value of B

For the function $y=\tan(6x-\frac{\pi}{6})$, we have $B = 6$.

Step3: Calculate the period

Substitute $B = 6$ into the period formula $T=\frac{\pi}{|B|}$, we get $T=\frac{\pi}{6}$.

Answer:

$\frac{\pi}{6}$