Sine, in mathematics, is a trigonometric function of an angle. The sine of an angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (i.e., the hypotenuse).

Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.

The sine function is commonly used to model periodic phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations throughout the year.

The function sine can be traced to the jyā and koṭi-jyā functions used in Gupta period Indian astronomy (Aryabhatiya, Surya Siddhanta), via translation from Sanskrit to Arabic and then from Arabic to Latin. The word "sine" comes from a Latin mistranslation of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.

Sine is a trigonometric function.

Sine may also refer to:

Mathematics

See also

Daniel Rosenfeld (born May 9, 1989) is a German musician and sound engineer best known as the composer and sound designer for the computer game Minecraft. His music is generally published under the name C418 (pronounced "see-four-eighteen").

Rosenfeld was born and grew up in East Germany after reunification, and the economic realities of the region limited his resources to learn audio composition . He says he learned on early versions of Schism Tracker and Ableton Live in the early 2000s, which were both rudimentary tools at the time. Learning under such restrictions turned out to help the young composer when he began collaborating with Minecraft creator Markus "Notch" Persson. The sound engine in the game was not very powerful, so Rosenfeld had to be creative in his approach to sound effects and music.

As a freelance artist, Rosenfeld was not on staff at Mojang, the game company behind Minecraft, which was sold to Microsoft in 2014. Rosenfeld says he still owns the rights to all the music in the game, having released two albums featuring songs from the soundtrack. The first soundtrack, Minecraft - Volume Alpha, was released on March 4, 2011. The video game blog Kotaku selected the music of Minecraft as one of the best video game soundtracks of 2011. On November 9, 2013, Rosenfeld released the second official soundtrack, titled Minecraft - Volume Beta, which includes the music that was added in later versions of the game.Minecraft - Volume Alpha found its first release in physical format on Ghostly International in 2015.