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

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

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1/(cot^2(x))+(sqrt(3))/(cot(x))=0

\frac{1}{cot ^{2} ( x )} + \frac{3}{cot ( x )} = 0

x = \frac{2 π}{3} + πn

Solution steps

\frac{1}{cot ^{2} ( x )} + \frac{3}{cot ( x )} = 0

Solve by substitution

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

cot (x) = - \frac{3}{3} : x = \frac{2 π}{3} + πn

Combine all the solutions

x = \frac{2 π}{3} + πn

b, \frac{sin ( 6 5 ^{\circ} )}{14} = \frac{sin ( b )}{9}

4 sin (θ) = sin (2 θ)

2 sin (3 x + \frac{3 π}{2}) = 1

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

0 = 2 sin (x + 1) + 1

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