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Sine Meaning: Definition, Examples, and Translations

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sine

[saɪn ]

Definition

Context #1 | Noun

mathematics

The sine function is one of the primary trigonometric functions. It is defined as the ratio of the length of the side of the triangle opposite the angle to the length of the hypotenuse. In a right triangle, this function is crucial for solving various problems related to angles and distances. The sine function is periodic and has a period of 2π radians. It is widely used in physics, engineering, and various fields of mathematics.

Synonyms

sine wave, trigonometric sine.

Examples of usage

  • The sine of 30 degrees is 0.5.
  • Architects often use sine to calculate angles in structures.
  • To find the height of a building, you can use the sine function.
  • Sine waves are fundamental in understanding sound patterns.

Translations

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Origin of 'sine'

The word 'sine' comes from the Latin term 'sinus', which means 'bay' or 'fold'. This term was adapted from the Arabic 'jayb', which refers to the 'fold in a garment' that was used as a way to calculate the lengths opposite angles in geometry. The use of 'sine' in mathematical contexts began in the Middle Ages when translations of Arabic texts introduced trigonometric concepts to European scholars. Early European mathematicians translated 'jayb' to 'sinus', leading to the term we use today. The sine function has been crucial not only in pure mathematics but also in various applied fields, including physics and engineering, where it helps describe oscillatory motions, waves, and other phenomena. Its rich historical evolution showcases the cross-cultural exchange of knowledge in mathematics.

Word Frequency Rank

Position #9,699 indicates this is an advanced-level word. While not essential for basic communication, it will enhance your ability to understand and create more nuanced content.