arc cosine (Meaning)

Wordnet

arc cosine (n)

the inverse function of the cosine; the angle that has a cosine equal to a given number

No Synonyms and anytonyms found

In trigonometry, the arc cosine function, denoted as arccos(x) or cos^(-1)(x), represents the inverse of the cosine function.
The arc cosine function returns the angle whose cosine is the given value, expressed in radians.
Mathematicians often use the arc cosine function to find angles in right triangles or to solve equations involving cosine.
The domain of the arc cosine function is from -1 to 1, and its range is from 0 to π (or 0° to 180°).
The graph of the arc cosine function resembles a curve that starts at π/2 and decreases to 0 as the input value increases from -1 to 1.
Engineers apply the arc cosine function in fields such as signal processing, robotics, and computer graphics.
Calculators and mathematical software provide tools to calculate the values of the arc cosine function for various input values.
Understanding the properties of the arc cosine function is essential for solving problems involving angles and trigonometric functions.
The arc cosine function is particularly useful in geometry and physics for determining angles in geometric shapes and analyzing oscillatory motion.
Inverse trigonometric functions like the arc cosine play a crucial role in mathematical modeling and problem-solving in diverse scientific disciplines.

the inverse function of the cosine; the angle that has a cosine equal to a given number

No synonyms found.

No antonyms found.

In trigonometry, the arc cosine function, denoted as arccos(x) or cos^(-1)(x), represents the inverse of the cosine function.

The arc cosine function returns the angle whose cosine is the given value, expressed in radians.

Mathematicians often use the arc cosine function to find angles in right triangles or to solve equations involving cosine.

The domain of the arc cosine function is from -1 to 1, and its range is from 0 to π (or 0° to 180°).