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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.

The domain of sec inverse x is given by (-∞, -1] U [1, ∞) and its range is [0, π/2) U (π/2, π]. If sec x = y ⇒ x = sec -1 y. Let us see a few examples of how to determine the values of sec inverse x.

The domain of Sec –1x, or Arcsec x, consists of all the numbers from 1 on up plus all the numbers from –1 on down. Letting x be the input, you write this expression as. In other words, the domain includes all the numbers from. except for the numbers between –1 and 1.

The domain of `"arc"sec\ x` is . All values of x, except −1 < x < 1. The range of arcsec x is . 0 ≤ arcsec x ≤ π, `"arc"sec\ x ≠ π/2` The Inverse Cosecant Function (arccsc) The graph of y = csc x, that we met before in Graphs of tan, cot, sec and csc, looks like this:

With this calculator, you can get the result of the inverse secant of an input value. The solution will be displayed in degrees, radians, and π radians. The allowed domain of x is x≤-1 and x≥1. Below you will find useful information on how to use the inverse secant calculator.

Plot of the arc secant function y = arcsecx. Function codomain is limited to the range [0, π/2)∪(π/2, π]. 3. Identities. Complementary angle: arcsec x + arccsc x = π/2. and as consequence: arcsec csc φ = π/2 − φ. Negative argument: arcsec(− x) = π − arcsec x. Reciprocal argument: arsec(1/ x) = arccos x. Sum and difference:

Oct 30, 2016 · This means that Arcsec and Arccsc have the same ranges as Arccos and Arcsin, respectively. Here are the domains (inputs) and ranges (outputs) of all six inverse trig functions: function

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): @$\begin{align*} x \in (-\infty, -1] \cup [1, \infty) \end{align*}@$

What is the domain of arcsec (x) ?