# How do you find the amplitude, period and graph y=4tan(1/3theta)?

May 11, 2018

Amplitude = 4
Period = $3 \pi$

#### Explanation:

$y = A \tan \left(B \cdot \theta\right)$

Amplitude = A

Period is $\frac{\pi}{B} = \frac{\pi}{\frac{1}{3}} = \pi \cdot \left(\frac{3}{1}\right) = 3 \pi$

Interval starts at $\frac{- 3 \pi}{2}$ and ends at $\frac{3 \pi}{2}$

graph{4tan(x/3) [-10, 10, -5, 5]}