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

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

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tan(3x)=(sqrt(3))/3

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

x = \frac{π}{18} + \frac{πn}{3}

Solution steps

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}

sin (x) tan (x) = sin (x)

2 cos^{2} (x) + cos (2 x) = 0

9 cos^{2} (θ) - 4 = 0

sec (θ) = \frac{2 3}{3}

sin (x + \frac{π}{4}) - sin (x - \frac{5 π}{4}) = \frac{2}{2}

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