# Sine

**noun**

1.

Trigonometry.

(in a right triangle) the ratio of the side opposite a given acute angle to the hypotenuse.

(of an angle) a trigonometric function equal to the ratio of the ordinate of the end point of the arc to the radius vector of this end point, the origin being at the center of the circle on which the arc lies and the initial point of the arc being on the x-axis.

Abbreviation: sin.

2.

Geometry. (originally) a perpendicular line drawn from one extremity of an arc of a circle to the diameter that passes through its other extremity.

3.

Mathematics. (of a real or complex number x) the function sin x defined by the infinite series x − (x 3 /3!) + (x 5 /5!) − + …, where ! denotes factorial.

Compare cosine (def 2), factorial (def 1).

nil sine numine

[neel sin-e noo-mi-ne; English nil sin-ee noo-mi-nee, nyoo-] /nil ˈsɪn ɛ ˈnu mɪ nɛ; English nɪl ˈsɪn i ˈnu mɪ ni, ˈnyu-/

Latin.

1.

nothing without the divine will: motto of Colorado.

causa sine qua non

[kou-sah si-ne kwah nohn; English kaw-zuh sahy-nee kwey non, kaw-zuh sin-ey kwah nohn] /ˈkaʊ sɑ ˈsɪ nɛ kwɑ ˈnoʊn; English ˈkɔ zə ˈsaɪ ni kweɪ ˈnɒn, ˈkɔ zə ˈsɪn eɪ kwɑ ˈnoʊn/

**noun**, Latin.

1.

an indispensable condition; requisite.

**noun** (of an angle)

1.

a trigonometric function that in a right-angled triangle is the ratio of the length of the opposite side to that of the hypotenuse

a function that in a circle centred at the origin of a Cartesian coordinate system is the ratio of the ordinate of a point on the circumference to the radius of the circle

sin

preposition

1.

(esp in Latin phrases or legal terms) lacking; without

sine

(sīn)

The ratio of the length of the side opposite an acute angle in a right triangle to the length of the hypotenuse.

The ordinate of the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system, the arc being of length x and measured counterclockwise from the point (1, 0) if x is positive or clockwise if x is negative.

A function of a number x, equal to the sine of an angle whose measure in radians is equal to x.

SINE

sign, that is, operator’s personal initials (shortwave transmission)

Tagged: s

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