`tan(3x) - 1 = 0` Solve the multiple-angle equation.

Expert Answers
Borys Shumyatskiy eNotes educator| Certified Educator

tan(3x)=1.

tan(y) has period `pi` and reaches any value once on each period.

We know that `tan(pi/4) = 1,` so

`3x = pi/4 + k*pi, kinZZ.`

The answer is `x=pi/12 + k*(pi/3), kinZZ.`