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

1 Answer
Mar 19, 2018

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]}