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Mathematical Object

Sine

Analysis

Sine is one of the basic trigonometric functions, originally defined for an acute angle in a right triangle as the ratio of the length of the opposite side to the length of the hypotenuse. It extends to all real and complex arguments through the unit circle, where the sine of an angle is the y-coordinate reached by rotating from the positive x-axis, and through its power-series and exponential definitions. The sine function is periodic with period 2 pi, bounded between -1 and 1, and odd, and it is fundamental to the study of periodic phenomena such as sound waves, oscillations and Fourier analysis. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Function 1
Connections

Attributed To

Source Sine and cosine (Wikipedia)

In Branch

Source Wolfram MathWorld: Sine

Is Kind Of Object

Functions, Concepts
Sources
1. Sine (Wikipedia)
Lead section
Quote, Lead section
In mathematics, sine and cosine are trigonometric functions of an angle.
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Wolfram MathWorld: Sine
Wolfram MathWorldIn Branch: Analysis, Subject classifications
Quote, In Branch: Analysis, Subject classifications
Calculus and Analysis Special Functions
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Sine and cosine (Wikipedia)
Attributed To: Hipparchus, Article text
Quote, Attributed To: Hipparchus, Article text
The chord function was discovered by Hipparchus of Nicaea (180-125 BCE) and Ptolemy of Roman Egypt (90-165 CE).
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