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

The general solution for sqrt(3)tan(3x)=3 is x= pi/9+(pin)/3

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sqrt(3)tan(3x)=3

3 tan (3 x) = 3

x = \frac{π}{9} + \frac{πn}{3}

Solution steps

3 tan (3 x) = 3

Divide both sides by

3

tan (3 x) = 3

General solutions for

tan (3 x) = 3

3 x = \frac{π}{3} + πn

Solve

3 x = \frac{π}{3} + πn : x = \frac{π}{9} + \frac{πn}{3}

x = \frac{π}{9} + \frac{πn}{3}

\frac{1}{2} + cos (θ) = 0

(2 cos (x) - 1) (2 sin (x) + 3) = 0

2 sin (2 x) = 2 cos (x)

tan (\frac{1}{2} x) + 1 = 0

2 sin^{2} (θ) + 3 sin (θ) = - 1

What is the general solution for sqrt(3)tan(3x)=3 ?
The general solution for sqrt(3)tan(3x)=3 is x= pi/9+(pin)/3