Question

How do you find the period of `y = 1 + tan(1/2x)`?

Answer 1

`2pi`

Explanation:

The period of `tan(x)` is `pi`. The period of a function of the form `f(x)=A+B tan(Cx)` is `pi/|C|` (the `A` and `B` are irrelevant in determining the period).

For your problem, `C=1/2` so `|C|=1/2` and `pi/|C|=pi/(1/2)=2pi`.