Solve for x y=tan(x)

Problem

y=tan(x)

Solution

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

2. Apply the inverse function by taking the arctangent (also written as tan()(−1) of both sides of the equation.

3. Simplify the right side using the property of inverse functions, where arctan(tan(x))=x for x within the restricted domain (−π/2,π/2)

4. Account for periodicity if a general solution is required, by adding n*π where n is any integer, since the tangent function repeats every π radians.

Final Answer

x=arctan(y)+n*π

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