# What are the important information needed to graph y= tan(x/2) + 1 ?

Feb 8, 2017

Lots of stuff(s) :D

#### Explanation:

graph{tan(x/2)+1 [-4, 4, -5, 5]}

To get the graph above, you need a couple of things.

The constant, $+ 1$ represents how much the graph is raised. Compare to the graph below of $y = \tan \left(\frac{x}{2}\right)$ without the constant.

graph{tan(x/2) [-4, 4, -5, 5]}

After finding the constant, you can find the period, which are the lengths at which the function repeats itself. $\tan \left(x\right)$ has a period of $\pi$, so $\tan \left(\frac{x}{2}\right)$ has a period of $2 \pi$ (because the angle is divided by two inside the equation)

Depending on your teacher's requirements, you may need to plug in a certain number of points to complete your graph. Remember that $\tan \left(x\right)$ is undefined when $\cos \left(x\right) = 0$ and is zero when $\sin \left(x\right) = 0$ because $\tan \left(x\right) = \frac{\sin \left(x\right)}{\cos \left(x\right)}$