circular function
Definition
- Noun:
- A trigonometric function: A "circular function" is a function of an angle, typically expressed as a ratio of the lengths of two sides of a right-angled triangle that contains that angle. These functions are fundamental in relating angles to side lengths in geometry and modeling periodic phenomena.
Usage Examples
- Noun:
- The sine and cosine are the most basic circular functions.
- Understanding circular functions is essential for studying waves and oscillations in physics.
Advanced Usage
- Inverse Circular Functions: Functions that yield an angle when given a trigonometric ratio, such as arcsine or arccosine.
- To find the angle, you must use an inverse circular function.
Variants and Related Words
- Trigonometric Function: A direct synonym for "circular function."
- Sine (sin): A specific circular function defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
- Cosine (cos): A specific circular function defined as the ratio of the length of the adjacent side to the length of the hypotenuse.
- Tangent (tan): A specific circular function defined as the ratio of sine to cosine.
Synonyms
- Trigonometric function
- Trig function (informal abbreviation)
Related Phrases
- Unit Circle Definition: A common way to define circular functions using the coordinates of a point on a circle with a radius of one.
- The unit circle provides a powerful geometric interpretation of circular functions.
Noun
-
function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
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