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

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

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

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

x = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

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

Simplify

- \frac{1}{3} : - \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}

csc^{2} (x) - 3 csc (x) - 2 = 0

sin (θ) = \frac{3}{8}, \frac{π}{2} < θ < π

3 cos (x) = 5 sin (x)

4 cos (x) = 3 sin (x)

cos (π x) = 0, 0 \leq x \leq 2 π

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