What is the general solution for 3-sqrt(3)tan(2x)=4-2sqrt(3)tan(2x) ?

The general solution for 3-sqrt(3)tan(2x)=4-2sqrt(3)tan(2x) is x= pi/(12)+(pin)/2

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3-sqrt(3)tan(2x)=4-2sqrt(3)tan(2x)

3 - 3 tan (2 x) = 4 - 23 tan (2 x)

x = \frac{π}{12} + \frac{πn}{2}

Solution steps

3 - 3 tan (2 x) = 4 - 23 tan (2 x)

Solve by substitution

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

tan (2 x) = \frac{3}{3} : x = \frac{π}{12} + \frac{πn}{2}

Combine all the solutions

x = \frac{π}{12} + \frac{πn}{2}

cos (θ) = \frac{3}{34}

tan (θ) + cot (θ) = \frac{4}{3}

sec (x) + 4 cos (x) = 5

- 3 sec (x) = 2

3 cos (x) csc (x) = 23 cos (x)

What is the general solution for 3-sqrt(3)tan(2x)=4-2sqrt(3)tan(2x) ?
The general solution for 3-sqrt(3)tan(2x)=4-2sqrt(3)tan(2x) is x= pi/(12)+(pin)/2