Answer :

Answer:

  x = nπ/3 +1/3 . . . . n ∈ ℤ

Step-by-step explanation:

You want the solutions to tan(3x -1) = 0.

Tangent

The tangent function is zero for multiples of π. That means ...

  3x -1 = nπ

  3x = nπ +1 . . . . add 1

  x = (nπ +1)/3 . . . . . divide by 3

The solutions are ...

  x = nπ/3 +1/3 . . . . . n ∈ ℤ