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Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, [4] and are used to obtain an angle from any of the angle's trigonometric ratios. Inverse trigonometric functions are widely used in engineering, navigation, physics, and geometry.
There are six in common use: inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse hyperbolic cotangent. They are commonly denoted by the symbols for the hyperbolic functions, prefixed with arc- or ar- , or with a superscript − 1 {\displaystyle {-1 ...
14 Inverse trigonometric functions. 15 Identities without variables. Toggle Identities without variables subsection. 15.1 Computing ... Cosecant = ...
Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric functions has a corresponding inverse function , and an analog among the hyperbolic functions .
hyperbolic cosecant " csch" or "cosech" (/ ˈ k oʊ s ɛ tʃ, ˈ k oʊ ʃ ɛ k / [3]) corresponding to the derived trigonometric functions. The inverse hyperbolic functions are: inverse hyperbolic sine " arsinh" (also denoted "sinh −1", "asinh" or sometimes "arcsinh ") [9] [10] [11] inverse hyperbolic cosine " arcosh" (also denoted "cosh −1 ...
Pages in category "Inverse trigonometric functions" ... Inverse cohaversine; Inverse cosecant; Inverse cosine; Inverse cotangent; Inverse covercosine; Inverse coversine;
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2.3 Trigonometric, inverse trigonometric, hyperbolic, ... The following is a useful property to calculate low-integer-order polylogarithms recursively in closed form: