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

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

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3cot^2(x)=sqrt(3)cot(x)

3 cot^{2} (x) = 3 cot (x)

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

Solution steps

3 cot^{2} (x) = 3 cot (x)

Solve by substitution

cot (x) = 0, cot (x) = \frac{3}{3}

cot (x) = 0 : x = \frac{π}{2} + πn

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

Combine all the solutions

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

sin (7 x) = \frac{3}{2}

- 1.9 sin (t) = 0.4 cos (2 t)

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

sin (2 t) = 1

sin^{4} (x) = sin^{2} (x)

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