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

Textbook Question

Chapter 5, 5.3 - Problem 41 - Precalculus (3rd Edition, Ron Larson).
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Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

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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.`

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