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Inverse Tangent Function Overview by citisolo is a document available to read on EtoBox.

The inverse tangent function, denoted arctan or tan-1, is the inverse of the tangent function when its domain is restricted to the interval [-π/2, π/2]. It is defined such that if y = arctan(x), then tan(y) = x for x within this interval. The graph of arctan is the reflection of the restricted tangent graph across the line y = x. Arctangent and tangent satisfy the cancellation properties tan(arctan(x)) = x and arctan(tan(y)) = y for values in their domains.

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