What is the general solution for 3tan(3x)=sqrt(3) ?

The general solution for 3tan(3x)=sqrt(3) is x= pi/(18)+(pin)/3

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3tan(3x)=sqrt(3)

3 tan (3 x) = 3

x = \frac{π}{18} + \frac{πn}{3}

Solution steps

3 tan (3 x) = 3

Divide both sides by

3

tan (3 x) = \frac{3}{3}

General solutions for

tan (3 x) = \frac{3}{3}

3 x = \frac{π}{6} + πn

Solve

3 x = \frac{π}{6} + πn : x = \frac{π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}

cos (\frac{2}{3} x - \frac{π}{2}) - 1 = 0

sin (x) = - \frac{3}{2}

5 sin^{2} (x) = sin (x)

- sin (2 x) \cdot 2 = 0

sin (x) = 3 cos (x)

What is the general solution for 3tan(3x)=sqrt(3) ?
The general solution for 3tan(3x)=sqrt(3) is x= pi/(18)+(pin)/3