arc secant (Meaning)
arc secant (n)
the inverse function of the secant; the angle that has a secant equal to a given number
Synonyms & Antonyms of arc secant
No Synonyms and anytonyms found
arc secant Sentence Examples
- The arc secant function, typically denoted as arcsec(x) or sec^(-1)(x), is the inverse of the secant function in trigonometry.
- The arc secant function returns the angle whose secant is the given value, expressed in radians.
- Mathematicians frequently use the arc secant function to find angles in right triangles or to solve equations involving secant.
- The domain of the arc secant function is from negative infinity to negative 1 inclusive and from 1 to positive infinity, excluding -1 and 1, and its range is from 0 to π (or 0° to 180°).
- The graph of the arc secant function resembles a curve that starts at 0 and increases indefinitely as the input value moves away from 1 or -1.
- Engineers utilize the arc secant function in fields such as electrical engineering, signal processing, and control systems.
- Calculators and mathematical software tools provide capabilities to compute the values of the arc secant function for various input values.
- Understanding the properties of the arc secant function is crucial for solving problems involving angles and trigonometric functions.
- The arc secant function is valuable in geometry and physics for determining angles in geometric shapes and analyzing oscillatory motion.
- Inverse trigonometric functions like the arc secant play a fundamental role in mathematical modeling and problem-solving across various scientific disciplines.
FAQs About the word arc secant
the inverse function of the secant; the angle that has a secant equal to a given number
No synonyms found.
No antonyms found.
The arc secant function, typically denoted as arcsec(x) or sec^(-1)(x), is the inverse of the secant function in trigonometry.
The arc secant function returns the angle whose secant is the given value, expressed in radians.
Mathematicians frequently use the arc secant function to find angles in right triangles or to solve equations involving secant.
The domain of the arc secant function is from negative infinity to negative 1 inclusive and from 1 to positive infinity, excluding -1 and 1, and its range is from 0 to π (or 0° to 180°).
