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|[[Sine]] |[[Hyperbolic sine]]

...en the two starting waves. To demonstrate the simplest case, between two [[sine wave]]s of equal [[amplitude]]: ...ession above (it can be said, the cosine factor is an ''envelope'' for the sine wave), whose frequency is (''f''₁+''f''₂)/2, that is,

...ngles]], the angle C, opposite the [[hypotenuse]] (c), is 90 degrees. The sine of 90 degrees is 1, so the equation reduces to:

...the reciprocal of the cosine, the '''cosecant''' is the reciprocal of the sine, and the '''cotangent''' is the reciprocal of the tangent.

multiplied by the [[sine]] of the angle between the sides.

*The [[sine]] of 1 radian is 0.841 470 985...

{{r|Sine}}

...umption for survival, survival manifested as [[reproductive success]], a ''sine qua non'' of evolution by means of [[natural selection]].

...tant in all branches of science and technology. It is possible to define sine and cosine in different ways. Two ways, one based on plane geometry and o ===Definition of sine and cosine in plane geometry===

...respect to the requirement that for a counterinsurgency to succeed, the ''sine qua non'' is to see the government as legitimate. This is especially compl

...nvelopes.png|right|150px|Top and bottom envelope functions for a modulated sine wave.}} ...ing its extremes in amplitude.<ref name=Johnson/> The figure illustrates a sine wave varying between an upper and a lower envelope. The envelope function m

Numerical Recipes in C. Fast Sine and Cosine transform. ...g the only antisimmetric modes can be performed with the [[DST]] (Discrete sine transform).

| '''Sine''' The earliest use of sine appears in the ''[[Sulba Sutras]]'' written in [[History of India|ancient I

...decompose it into its constituent frequencies. The main idea is to employ sine and cosine functions of a continuous range of frequencies (in fact from <ma

...rned. He famously declared that the vernacular with "without any rules" (''sine omnia regula''), by which of course he meant written, codified rules as tau

...mathematical objects. Examples of elementary functions include the [[sine|sine function]] and the [[logarithmic function]], which (denoting their argument ...plane]]. Given either of the non-right angles (which we call ''x''), the ''sine of x'' equals the ratio between the side opposite to the angle and the side

...or '''asign''', or '''arcsin''' is [[holomorphic function]], inverse of [[sine|sin]].

Numerical Recipes in C. Fast Sine and Cosine transform.

Cosine- and sine-type regular [[solid harmonics]] (normalized to unity) can be defined by th ...es, the cosine-type functions contain the factor cos |''m''| &phi; and the sine-type functions sin |''m''| &phi;. Hence the name. It is of some interest t

...the particle, the intensity ''B'' of the [[magnetic induction]], and the [[sine]] of the angle between the [[vector]]s '''v''' and '''B'''. The ''direction