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

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

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

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

x = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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}

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

5 cos (c) + 23 = 0

cos (2 θ) = - \frac{28}{53}

cos (θ) = \frac{( 1 )}{( 2 )}

csc (x) (cos^{2} (x) + 2) = 0

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