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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, sec θ = Hypotenuse/Base = x (say).
Take the inverse secant of both sides of the equation to extract from inside the secant.
12 maj 2014 · Introduction to the inverse secant function, including domain, range, graph, and how it relates to the secant function.
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.
Range of sec-1 (x): @$\begin{align*} y \in [0, \frac{\pi}{2}) \cup (\frac{\pi}{2}, \pi] \end{align*}@$ This means that the output of the inverse secant function is all real numbers @$\begin{align*}y\end{align*}@$ such that @$\begin{align*}0 \le y < \frac {\pi}{2}\end{align*}@$ or @$\begin{align*}\frac{\pi}{2} < y \le \pi.\end{align*}@$
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.
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)
