what is the period of y = 4tan5x

Explanation:

Step1: Recall tangent - function period formula

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

Step2: Identify the value of B

In the function $y = 4\tan(5x)$, $B = 5$.

Step3: Calculate the period

Substitute $B = 5$ into the formula $T=\frac{\pi}{|B|}$, we get $T=\frac{\pi}{5}$.

Answer:

A. $\frac{\pi}{5}$