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

The general solution for cot(x/3)=(-1)/(sqrt(3)) is x=2pi+3pin

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cot(x/3)=(-1)/(sqrt(3))

cot (\frac{x}{3}) = \frac{- 1}{3}

x = 2 π + 3 πn

Solution steps

cot (\frac{x}{3}) = \frac{- 1}{3}

Simplify

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

General solutions for

cot (\frac{x}{3}) = - \frac{3}{3}

\frac{x}{3} = \frac{2 π}{3} + πn

Solve

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

x = 2 π + 3 πn

cos^{2} (θ) = sin^{2} (θ) + 1, 0^{\circ} \leq θ \leq 36 0^{\circ}

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

tan (x) = 25762

sin (8 x) = sin (6 x)

\frac{1}{sin ( x )} = 2

What is the general solution for cot(x/3)=(-1)/(sqrt(3)) ?
The general solution for cot(x/3)=(-1)/(sqrt(3)) is x=2pi+3pin