Solve for x y=cot(x)

Problem

y=cot(x)

Solution

1. Identify the goal, which is to isolate x in the equation y=cot(x)

2. Apply the inverse function by taking the arccotangent (inverse cotangent) of both sides of the equation.

3. Simplify the right side using the property arccot(cot(x))=x assuming x is within the restricted domain of the cotangent function, typically (0,π)

4. State the general solution by adding multiples of the period π since the cotangent function is periodic.

Final Answer

x=arccot(y)+n*π

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