find the period. y = 3/4 tan(x)

Explanation:

Step1: Recall tangent - function period formula

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

Step2: Identify the value of B

For the function $y=\frac{3}{4}\tan(x)$, we can rewrite it as $y=\frac{3}{4}\tan(1x + 0)+0$. Here, $B = 1$.

Step3: Calculate the period

Substitute $B = 1$ into the period formula $T=\frac{\pi}{|B|}$. We get $T=\frac{\pi}{|1|}=\pi$.

Answer:

$\pi$