What is the general solution for sqrt(3)cot(x/3)+1=0 ?

The general solution for sqrt(3)cot(x/3)+1=0 is x=2pi+3pin

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sqrt(3)cot(x/3)+1=0

3 cot (\frac{x}{3}) + 1 = 0

x = 2 π + 3 πn

Solution steps

3 cot (\frac{x}{3}) + 1 = 0

Move

1

to the right side

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

Divide both sides by

3

cot (\frac{x}{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

sin (x) = 0.1115

arccos (x) = 11555

sin (A) = - \frac{1}{2}

6 tan (x) + 1 = 4 tan (x) + 3

cos (x) = \frac{- 5}{5}

What is the general solution for sqrt(3)cot(x/3)+1=0 ?
The general solution for sqrt(3)cot(x/3)+1=0 is x=2pi+3pin