To solve the equation √3 Cot(x) - 3 = 0, we can start by isolating the term with the cotangent function.

√3 Cot(x) = 3

Next, we can divide both sides of the equation by √3 to solve for Cot(x):

Cot(x) = 3/√3

Simplifying the right side:

Cot(x) = √3

Now, we can find the angle x that satisfies this equation. The cotangent function is the reciprocal of the tangent function, so we can rewrite the equation as:

Tan(x) = 1/√3

Taking the inverse tangent (arctan) of both sides:

x = arctan(1/√3)

Using a calculator, we can find the approximate value of x:

x ≈ 30 degrees or x ≈ π/6 radians

Therefore, the solutions to the equation √3 Cot(x) - 3 = 0 are approximately x = 30 degrees or x = π/6 radians.