In mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, [1] cyclometric, [2] or arcus functions [3]) are the inverse functions of the trigonometric functions, under suitably restricted domains.

Jun 15, 2021 · To understand the `arc' in `arccosine', recall that an inverse function, by definition, reverses the process of the original function. The function f(t) = cos(t) takes a real number input t, associates it with the angle θ = t radians, and returns the value cos(θ).

Feb 24, 2025 · Inverse trigonometric functions, also called arc functions, reverse the operations of the basic six trigonometric functions – sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). If y = g (x) and x = p (y) are two functions, then p = g -1 is the inverse function.

The arcsecant function, often denoted as a r c s e c (x) or s e c − 1 (x), is the inverse of the secant function. It is used to determine an angle given the secant of the angle.

The Arcsec Calculator is a handy online tool for finding the corresponding angle from the value of the secant. What is arcsec? Arcsec is the abbreviation of arcsecant, which is the inverse function of secant. It is one of the six inverse trigonometric functions (the other 5 are arcsin, arccos, arctan, arccot and arccsc).

Sec Inverse x is the inverse trigonometric function of the secant function. Mathematically, it is denoted by sec -1 x. It can also be written as arcsec x. In a right-angled triangle, the secant function is given by the ratio of the hypotenuse and the base, that is, …

Note: arcsec refers to "arc secant", or the radian measure of the arc on a circle corresponding to a given value of secant. Technical note: Since none of the six trig functions sine, cosine, tangent, cosecant, secant, and cotangent are one-to-one, their inverses are not functions.

The arcsecant is a function inverse to the secant (x = secy) on the interval [0; π/2)∪ ( π/2; π] The domain of arcsecant is the the interval: х∈ (-∞;-1]∪ [1, +∞). The range of arcsecant: y∈ [0; …

6 days ago · In the notation (commonly used in North America and in pocket calculators worldwide), is the secant and the superscript denotes the inverse function, not the multiplicative inverse. The principal value of the inverse secant is implemented as ArcSec [z] …

The arcsecant function, denoted as @$\begin {align*}arcsec\end {align*}@$ or @$\begin {align*}sec^ {-1},\end {align*}@$ is the inverse of the secant function. It is used to determine an angle given the secant of the angle. The formula for arcsecant can be …