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

The general solution for sqrt(3)tan(2x)=-1 is x=(5pi}{12}+\frac{pin)/2

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

3 tan (2 x) = - 1

x = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

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{5 π}{6} + πn

Solve

2 x = \frac{5 π}{6} + πn : x = \frac{5 π}{12} + \frac{πn}{2}

x = \frac{5 π}{12} + \frac{πn}{2}

2 tan^{2} (3 x) = 6

5 cos (x) + 1 = - 2 sin^{2} (x)

sinh (x) = \frac{- 3}{4}

1 - cos (θ) = cos (θ)

(cos (x) - 5) (cos (x) + 1) = 0

What is the general solution for sqrt(3)tan(2x)=-1 ?
The general solution for sqrt(3)tan(2x)=-1 is x=(5pi}{12}+\frac{pin)/2