Final answer:
The inverse tangent function, or arctan, is the inverse of the tangent function and returns the ratio of the opposite side to the adjacent side of an angle. Its domain is (-∞, ∞) and its range is (-π/2, π/2) or approximately (-1.57, 1.57) in radians, and (-90°, 90°) in degrees.
Step-by-step explanation:
The inverse tangent function, also known as arctan or tan⁻¹, is the inverse of the tangent function. It is denoted as tan⁻¹(x) or arctan(x), where x is the ratio of the opposite side to the adjacent side of a right triangle. In other words, given an angle, the inverse tangent function returns the ratio of the opposite side to the adjacent side.
The domain of the inverse tangent function is (-∞, ∞), which means it can take any real number as an input. The range of the inverse tangent function is (-π/2, π/2), or approximately (-1.57, 1.57), in radians. In degrees, the range is (-90°, 90°).