Solve for x square root of 3cot(x)-1=0

Problem

√(,3)*cot(x)−1=0

Solution

1. Isolate the term containing the trigonometric function by adding 1 to both sides of the equation.

√(,3)*cot(x)=1

2. Divide both sides by √(,3) to solve for the cotangent function.

cot(x)=1/√(,3)

3. Rewrite the equation in terms of the tangent function using the identity tan(x)=1/cot(x)

tan(x)=√(,3)

4. Determine the general solution for x by identifying the angles where the tangent is √(,3) This occurs at π/3 plus any integer multiple of the period π

x=π/3+n*π

Final Answer

√(,3)*cot(x)−1=0⇒x=π/3+n*π

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