Question

What is the period and amplitude for `y=tan8x`?

Answer 1

The period is `pi/8` and the "amplitude", if you want to call it that, is infinite.

Explanation:

The period of `tan(x)` is `pi`. The period of `tan(Bx)` is `pi/B`.

The tangent function has vertical asymptotes, so it doesn't have an amplitude in the usual sense of the word. If an answer must be given, you could say that the amplitude is infinite.