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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.
Take the inverse secant of both sides of the equation to extract x x from inside the secant. Simplify the right side. Tap for more steps... The secant function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from 2π 2 π to find the solution in the fourth quadrant.
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.
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 @$\begin{align*}\frac{\pi}{2} < y \le \pi.\end{align*}@$
Inverse trigonometric functions are widely used in engineering, navigation, physics, and geometry. For a circle of radius 1, arcsin and arccos are the lengths of actual arcs determined by the quantities in question. Several notations for the inverse trigonometric functions exist.
