Question

How do you find the period of `tan(2pi x)`?

Answer 1

See Below.

Explanation:

Standard form of equation is `y = A tan (Bx - C) + D`

Given `y = tan (2pix)`

`Amplitude = A = "None"` Function `tan x` doesn't have an amplitude.

`"Period " = P = pi / |B| = pi/ (2pi) = 1/2`

`" Phase Shift" = (-C) / B = 0 / (2pi) = 0`
`"Vertical Shift " = D = 0`

graph{tan(2pix) [-10, 10, -5, 5]}