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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. If sec 0 = 1 ⇒ sec-1 (1) = 0; If sec (π/6) = 2/√3 ⇒ sec-1 (2/√3) = π/6; If sec (π/4) = √2 ⇒ sec-1 (√2) = π/4
The domain and range of the inverse secant function, denoted as s e c − 1 (x) or a r c s e c (x), are as follows: x ∈ (− ∞, − 1] ∪ [1, ∞) This means that the inverse secant function is defined for all real numbers x such that x is less than or equal to -1 or x is greater than or equal to 1. y ∈ [0, π 2) ∪ (π 2, π]
Take the inverse secant of both sides of the equation to extract from inside the secant.
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.
When we try to get range of inverse trigonometric functions, either we can start from -π /2 or 0 (Not both). If we start from -π /2, the range has to be restricted in the interval. [-π /2, π /2], Length = 180°. If we start from 0, the range has to be restricted in the interval. [0, π], Length = 180°.
The range of the secant function is (-∞, -1] ⋃ [1, +∞), which includes all real numbers except those between -1 and 1. Since the sec inverse function is the inverse of the secant function, its domain and range are reversed.
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.
