What is the general solution for sqrt(3)tan(2x)-1=0 ?

The general solution for sqrt(3)tan(2x)-1=0 is x= pi/(12)+(pin)/2

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sqrt(3)tan(2x)-1=0

3 tan (2 x) - 1 = 0

x = \frac{π}{12} + \frac{πn}{2}

Solution steps

3 tan (2 x) - 1 = 0

Move

1

to the right side

3 tan (2 x) = 1

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}

cos (2 x + π) = 0

csc (θ) = - \frac{5}{4}

2 - sec^{2} (x) = 0

4 sin (θ) - 22 = 0

sec (θ) = \frac{2}{3}

What is the general solution for sqrt(3)tan(2x)-1=0 ?
The general solution for sqrt(3)tan(2x)-1=0 is x= pi/(12)+(pin)/2