Simplify arctan(x)

Problem

arctan(x)

Solution

1. Identify the expression as the inverse tangent function, which represents the angle θ such that tan(θ)=x

2. Determine if further simplification is possible. The expression arctan(x) is already in its simplest form for a general variable x

3. Note the domain and range. The function is defined for all real numbers x∈(−∞,∞) and outputs values in the range (−π/2,π/2)

Final Answer

arctan(x)=arctan(x)

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