Unizor - Trigonometry - Function ARCSEC(x) скачать в хорошем качестве

Unizor - Trigonometry - Function ARCSEC(x)

For a function y=sec(x) an interval of monotonic behavior is usually chosen as a union of two intervals: [0,π/2), where the function is monotonously increasing from 1 to +∞ and (π/2,π], where the function is monotonously increasing from −∞ to −1. In other words, it's a segment [0,π] without a midpoint π/2 where secant has an asymptote. The inverse function to it is called arcsecant and is symbolized as y=arcsec(x). Its domain is a union of two intervals: (−∞,−1] (function secant maps interval (π/2,π] into it) and [1,+∞) (function secant maps interval [0,π/2) into it). Its co-domain and a range is a union of two intervals: [0,π/2) (where the function secant is monotonously increasing from 1 to +∞) and (π/2,π] (where the function secant is monotonously increasing from −∞ to −1).