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

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

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sqrt(3)+tan(2x)=0

3 + tan (2 x) = 0

x = \frac{π}{3} + \frac{πn}{2}

Solution steps

3 + tan (2 x) = 0

Move

3

to the right side

tan (2 x) = - 3

General solutions for

tan (2 x) = - 3

2 x = \frac{2 π}{3} + πn

Solve

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

x = \frac{π}{3} + \frac{πn}{2}

csc (2 x) = 2

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

6 (1 - cos (θ)) = sin^{2} (θ)

25 tan^{2} (θ) - 9 = 0

sin (x) cos (x) - 2 cos (x) = 0

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