Solve for y y=tan(x)

Problem

y=tan(x)

Solution

1. Identify the goal, which is to isolate x by finding the inverse of the tangent function.

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 that arctan(tan(x))=x within the restricted domain of the inverse function.

4. Account for periodicity if a general solution is required, noting that the tangent function has a period of π

Final Answer

x=arctan(y)+n*π

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