arc sine (Meaning)

Wordnet

arc sine (n)

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

No Synonyms and anytonyms found

The arc sine function, commonly denoted as arcsin(x) or sin^(-1)(x), is the inverse of the sine function in trigonometry.
The arc sine function returns the angle whose sine is the given value, expressed in radians.
Mathematicians frequently use the arc sine function to find angles in right triangles or to solve equations involving sine.
The domain of the arc sine function is from -1 to 1, and its range is from -π/2 to π/2 (or -90° to 90°).
The graph of the arc sine function resembles a curve that starts at -π/2, reaches 0 at x = 0, and ends at π/2 as the input value increases from -1 to 1.
Engineers utilize the arc sine function in fields such as robotics, motion control, and navigation systems.
Calculators and mathematical software tools provide capabilities to compute the values of the arc sine function for various input values.
Understanding the properties of the arc sine function is essential for solving problems involving angles and trigonometric functions.
The arc sine function is valuable in geometry and physics for determining angles in geometric shapes and analyzing periodic motion.
Inverse trigonometric functions like the arc sine play a fundamental role in mathematical modeling and problem-solving across various scientific disciplines.

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

No synonyms found.

No antonyms found.

The arc sine function, commonly denoted as arcsin(x) or sin^(-1)(x), is the inverse of the sine function in trigonometry.

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

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

The domain of the arc sine function is from -1 to 1, and its range is from -π/2 to π/2 (or -90° to 90°).