How do you find the amplitude and period of y=0.7tan(0.3x-1.8)?

1 Answer
Nov 4, 2015

The amplitude does not exist/is undefined or however you want to say it. The period is (20pi)/3.

Explanation:

The equation can be written as a sin(b(x-c)) + d. For sin and cos (but not tan) |a| is the amplitude, (2pi)/|b| is the period, and c and d are the phase shifts. c is the phase shift to the right (positive x direction) and d is the phase shift up (positive y direction). In this case, you need to take out a .3 inside of the parentheses. You then get 0.7tan(0.3(x-0.6)). Now just follow the model above; the period is (2pi)/.3 or (20pi)/3.
Note that tangent graphs do not have altitudes (they go from -oo to oo).