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, …

Sep 10, 2024 · Inverse of Secant Function, y = sec-1 (x) sec-1 (x) is the inverse function of sec(x). Its domain is (-∞, -1] U [1, ∞) and its range is [0, π/2) U (π/2, π]. It doesn’t intercept the coordinate axis as it is a discontinuous function.

Let us discuss all six important types of inverse trigonometric functions, along with its definition, formulas, graphs, properties and solved examples. The arcsine function is an inverse of the sine function denoted by sin -1x. It is represented in the graph as shown below.

Graphs of Inverse Trigonometric Functions. The graphs of all the inverse trigonometric functions are given as follow. Graph of arcsine function. Arcsine function is inverse of the sine function denoted by sin-1 x. It is represented in the graph as shown below: Graph of arccosine function

Feb 24, 2025 · Learn to graph all inverse trigonometric functions, including their domain, range, x- and y-intercepts, maxima, minima, and inflection points.

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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 Inverse Secant Function (arcsec) The graph of y = sec x, that we met before in Graphs of tan, cot, sec and csc:

The graph of the inverse secant function, denoted as @$\begin{align*}\sec^{-1}{x}\end{align*}@$ or @$\begin{align*}\text {arcsec(x)},\end{align*}@$ is not as straightforward as the graphs of basic trigonometric functions like sine or cosine.

5 days ago · Remember that not all functions have an inverse. \(y=f(x)\) needs to pass the horizontal line test on its domain in order for the function \(f^{-1}(x)\) to exist. ... This makes a difference because these domains effect what the derivative of these graphs look like: \(y=\sec(x)\) In the green regions, \(\sec(x)\) is always increasing, so its ...