Search results
Sec Inverse x is the inverse trigonometric function of the secant function. Mathematically, it is denoted by sec -1 x or arcsec x or sec -1 (Hypotenuse/Base) [in the context of a right-angled triangle].
The domain and range of the inverse secant function, denoted as @$\begin{align*}sec^{-1}(x)\end{align*}@$ or @$\begin{align*}arcsec(x),\end{align*}@$ are as follows: Domain of sec-1 (x): @$\begin{align*} x \in (-\infty, -1] \cup [1, \infty) \end{align*}@$
26 lis 2024 · The inverse secant sec^(-1)z (Zwillinger 1995, p. 465), also denoted arcsecz (Abramowitz and Stegun 1972, p. 79; Harris and Stocker 1998, p. 315; Jeffrey 2000, p. 124), is the inverse function of the secant.
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.
To make you to understand the domain and range of an inverse trigonometric function, we have given a table which clearly says the domain and range of inverse trigonometric functions. For any trigonometric function, we can easily find the domain using the below rule. That is, Domain (y-1) = Range (y)
The inverse secant function (arcsec(x)) is used to find the angle whose secant value is equal to a given number x. In other words, if you have a value x and want to find the angle θ such that sec(θ) = x, you would use the inverse secant function.
With inverse secant, we select the angle on the top half of the unit circle. Thus sec -1 (–2) = 120° or sec -1 (–2) = 2π/3. In other words, the range of sec -1 is restricted to [0, 90°) U (90°, 180°] or . Note: sec 90° is undefined, so 90° is not in the range of sec -1.
