What is the period of y = 1 + tan (1/2x)?

Solution:

Given y = 1 + tan (1/2x)

We know that the period of tan(x) is π.

The period of a function of the form f(x) = A + Btan(Cx) is:

π/|C| (the A and B are irrelevant in determining the period).

C = 1/2 so |C| = 1/2 and π/|C| = π/1/2 = 2π.

the period of y = 1 + tan (1/2x) is 2π.

What is the period of y = 1 + tan (1/2x)?

Summary:

The period of y = 1 + tan (1/2x) is 2π.