Pronunciation: [sˈa͡ɪn] (IPA) 
Sine is spelled as /saɪn/ in IPA phonetic transcription. The word refers to a trigonometric function that relates to the ratio of the length of the side opposite an angle in a right-angled triangle to the hypotenuse. The spelling of the word "sine" is derived from the Latin word "sinus," which means "bay" or "curve." The 's' is pronounced as 's' and the 'i' is pronounced as 'aɪ'. The 'n' at the end is pronounced as 'n'.
Sine, in mathematics and trigonometry, is a fundamental mathematical function that relates the ratio between the length of one side of a right triangle and the length of the hypotenuse. It is denoted as sin(θ), where θ represents the measure of an angle within the triangle.
The sine function is calculated by dividing the length of the side opposite the angle (opposite side) by the length of the hypotenuse. This ratio represents the vertical height of the triangle relative to its hypotenuse and allows for the comparison of angles of varying sizes.
Sine has a range of values between -1 and 1, inclusive, as it oscillates between these extremes as the angle changes. For example, when the angle is 0 degrees or a multiple of 360 degrees, the sine value is 0. When the angle measures 90 degrees or π/2 radians, the sine value reaches its maximum of 1. Conversely, when the angle measures 270 degrees or 3π/2 radians, the sine value is at its minimum of -1. Moreover, for angles that fall between these reference points, the sine takes on various values between -1 and 1.
The sine function has numerous applications in mathematics, engineering, and physics, particularly in the analysis of periodic phenomena such as waves and oscillations. Additionally, it is widely utilized in the field of signal processing to extract and analyze specific components of a given signal.
• In trig., a straight line drawn from one extremity of the arc of a circle perpendicular to the diameter passing through the other extremity.
• A prefix signifying without.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
* The statistics data for these misspellings percentages are collected from over 15,411,110 spell check sessions on www.spellchecker.net from Jan 2010 - Jun 2012.
The word "sine" has its roots in Latin. It derives from the Latin word "sinus", which means "bay", "gulf", or "fold". In the context of mathematics, "sinus" specifically referred to the chord of a circle or a half-circle, which was later extended to represent the trigonometric function sine.
