atan23

atan23 is not a standard term in mathematics. In most contexts, the expression may be interpreted as the arctangent of 23, written as atan(23) or arctan(23), or as an identifier in code.

If interpreted as arctan(23), it denotes the unique angle theta in the interval (-pi/2, pi/2) whose tangent equals 23. Its value is approximately 1.5273 radians, which is about 87.53 degrees. The arctan function is the inverse of the tangent function restricted to (-pi/2, pi/2).

Properties of the arctan function include monotone increase over its domain and a derivative of 1/(1+x^2). At x = 23, the derivative is about 1/530, or approximately 0.00189, reflecting the gradual approach toward the horizontal asymptote pi/2 as x grows larger. As x tends to infinity, arctan(x) approaches pi/2.

In programming and numerical contexts, atan is a common function name that computes the arctangent of a real number. Some languages provide a two-argument variant called atan2(y, x) that returns the angle of the point (x, y) relative to the positive x-axis. The string “atan23” may appear as a variable name or a mis-typed token rather than a standard function.

Examples: evaluating atan(23) yields approximately 1.5273454 radians (≈ 87.5338 degrees). See also arctan, arctan2, and tangent for related concepts.