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

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

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3tan(2x)=sqrt(3)

3 tan (2 x) = 3

x = \frac{π}{12} + \frac{πn}{2}

Solution steps

3 tan (2 x) = 3

Divide both sides by

3

tan (2 x) = \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}

12 cos^{2} (x) = 3

2 cos (x) - 2 sin (x) = 1, 0 \leq x < 2 π

sin (x) = 3 cos (x)

2 sin^{2} (x) - 3 cos (x) = 3

4 cos (x) = 3 + 8 cos (x)

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