Search results
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.
To better understand how to use the inverse secant function, let’s look at an example. Suppose we want to find the angle θ such that sec (θ) = 2. Using the inverse secant function, we would write this as: arcsec (2) = θ. This equation is read as “the arcsecant of 2 is equal to θ.”
Inverse Trigonometric Functions, also known as arcus, anti-trigonometric, or cyclometric functions, are the inverse counterparts of the fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. They are instrumental in determining angles based on trigonometric ratios.
What is the arcsecant (arcsec) function? The arcsecant function is the inverse of the secant function denoted by sec -1x. It is represented in the graph as shown below. Therefore, the inverse of the secant function can be expressed as y = sec-1x (arcsecant x) Domain and range of arcsecant are as follows: What is the arccosecant (arccsc x) function?
The range of arcsecant: y∈ [0; π/2)∪ ( π/2; π]. Arcsecant is a non-periodic function. The arcsecant increases and is continuous on the interval x∈ (-∞; -1] and x∈ [1, + ∞), since the secant function (x= secy) is strictly increasing and continuous in the intervals [0; π/2) and (π/2;π]
The range is the set of all valid y y values. Use the graph to find the range. Interval Notation: [0, π 2)∪(π 2,π] [0, π 2) ∪ (π 2, π] Set -Builder Notation: {y∣∣0 ≤ y ≤ π,y ≠ π 2} {y | 0 ≤ y ≤ π, y ≠ π 2}
15 sty 2022 · In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions are the inverse functions of the trigonometric functions (with suitably restricted domains).
