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

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

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

solve for

x, 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}

1 + sin^{2} (x) = 0

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

- sin (θ) = \frac{n}{2} - 3

3 sin (θ) + 2 sin^{2} (θ) = - 1, 0 \leq θ < 2 π

3 sin^{2} (x) + 4 sin (x) + 1 = 0

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