arctan134

arctan134 refers to the value of the inverse tangent function at the real number 134, that is, arctan(134). The arctangent function, written arctan or tan^{-1}, returns the angle whose tangent equals its argument, with the principal value in (-pi/2, pi/2). Therefore arctan(134) is a positive angle just below 90 degrees.

In radians, arctan(134) is approximately 1.56333, and in degrees it is about 89.57°. A common identity used for large arguments is arctan(134) = pi/2 − arctan(1/134). The small angle arctan(1/134) is about 0.00746256 radians, so the difference from pi/2 is roughly that amount.

For numerical calculation, calculators and software typically use algorithms such as CORDIC or suitable polynomial or rational approximations, and often apply the pi/2 offset for large inputs to improve accuracy. The derivative of arctan x with respect to x is 1/(1+x^2), and the function is odd, meaning arctan(−x) = −arctan(x). The domain of arctan is all real numbers, and its range is (−pi/2, pi/2). While arctan(134) is not a widely named constant, it illustrates the behavior of inverse trigonometric functions at large positive arguments.