circular function

Thân thiện

A student draws a graph of a circular function on the chalkboard.

Definition

1. 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.

Học thuật

Noun

1. function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle

Từ đồng nghĩa

• trigonometric function