# How do you graph two cycles of y=-2tan(4theta)?

Jul 11, 2017

$-$ sign signifies an inverse graph of tangent graph

2 signifies the graph amplitude or the $y$ values are of two times larger than a normal tangent graph

$4 \theta$ signifies 4 repeats of the normal tangent graph in a $2 \pi$ or 360degrees cycle

In your case, you need to plot 2 cycle of y.
Since 4 cycle in 2$\pi$
1 complete cycle in $2 \frac{\pi}{4} = \frac{\pi}{2}$

divide $\frac{\pi}{2}$ into four parts for each of the four parts of graph which starts at 0.

#### Explanation:

graph{y=-2tan (4x) [-10, 10, -5, 5]}