What is the general solution for tan(2x-pi/6)=sqrt(3) ?

The general solution for tan(2x-pi/6)=sqrt(3) is x=(pin)/2+pi/4

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tan(2x-pi/6)=sqrt(3)

tan (2 x - \frac{π}{6}) = 3

x = \frac{πn}{2} + \frac{π}{4}

Solution steps

tan (2 x - \frac{π}{6}) = 3

General solutions for

tan (2 x - \frac{π}{6}) = 3

2 x - \frac{π}{6} = \frac{π}{3} + πn

Solve

2 x - \frac{π}{6} = \frac{π}{3} + πn : x = \frac{πn}{2} + \frac{π}{4}

x = \frac{πn}{2} + \frac{π}{4}

sin^{2} (x) + 6 sin (x) = 2 sin (x) - 3

sin (x) + cos (x) = \frac{1}{5}

cos (\frac{2 x}{3}) - 1 = 0

4 sin^{2} (θ) - 11 sin (θ) + 7 = 0

cos^{2} (x) + cos^{4} (x) = 1

What is the general solution for tan(2x-pi/6)=sqrt(3) ?
The general solution for tan(2x-pi/6)=sqrt(3) is x=(pin)/2+pi/4