Question

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

Answer 1

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(x/2)` 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(x)` has a period of `pi`, so `tan(x/2)` has a period of `2pi` (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(x)` is undefined when `cos(x) = 0` and is zero when `sin(x) = 0` because `tan(x) = (sin(x))/(cos(x))`