# How do you find the period of y=2tan(3pix+4)?

$\frac{1}{3}$
In the form $y = A \tan \left(B x - C\right) + D$, the period = $\frac{\pi}{B}$.
In this example, $B = 3 \pi$.
$P e r i o d = \frac{\pi}{B} = \frac{\pi}{3 \pi} = \frac{1}{3}$