What is the general solution for tan(2x)= 1/(sqrt(3)) ?

The general solution for tan(2x)= 1/(sqrt(3)) is x= pi/(12)+(pin)/2

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tan(2x)= 1/(sqrt(3))

tan (2 x) = \frac{1}{3}

x = \frac{π}{12} + \frac{πn}{2}

Solution steps

tan (2 x) = \frac{1}{3}

Simplify

\frac{1}{3} : \frac{3}{3}

General solutions for

tan (2 x) = \frac{3}{3}

2 x = \frac{π}{6} + πn

Solve

2 x = \frac{π}{6} + πn : x = \frac{π}{12} + \frac{πn}{2}

x = \frac{π}{12} + \frac{πn}{2}

2 sin (θ) cos (θ) - 3 cos (θ) = 0

4 sin (θ) cos (θ) + 2 sin (θ) - 2 cos (θ) - 1 = 0

sin (θ) - 3 cos (θ) = 3

cos (a) = 0.5

2 cos^{2} (θ) - 3 cos (θ) - 2 = 0

What is the general solution for tan(2x)= 1/(sqrt(3)) ?
The general solution for tan(2x)= 1/(sqrt(3)) is x= pi/(12)+(pin)/2