51³Ô¹Ï

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sine

[ sahyn ]

noun

  1. Trigonometry.
    1. (in a right triangle) the ratio of the side opposite a given acute angle to the hypotenuse.
    2. (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. : 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 ).


sine

1

/ ²õ²¹Éª²Ô /

noun

  1. sin
    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
    2. 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
“Collins English Dictionary — Complete & Unabridged†2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

sine

2

/ ˈ²õ²¹Éª²Ôɪ /

preposition

  1. (esp in Latin phrases or legal terms) lacking; without
“Collins English Dictionary — Complete & Unabridged†2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

sine

/ ²õÄ«²Ô /

  1. The ratio of the length of the side opposite an acute angle in a right triangle to the length of the hypotenuse.
  2. 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.
  3. A function of a number x , equal to the sine of an angle whose measure in radians is equal to x.
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51³Ô¹Ï History and Origins

Origin of sine1

1585–95; < New Latin, Latin sinus a curve, fold, pocket, translation of Arabic jayb literally, pocket, by folk etymology < Sanskrit jiyÄ, jyÄ chord of an arc, literally, bowstring
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51³Ô¹Ï History and Origins

Origin of sine1

C16: from Latin sinus a bend; in New Latin, sinus was mistaken as a translation of Arabic jiba sine (from Sanskrit ÂáÄ«±¹²¹, literally: bowstring) because of confusion with Arabic jaib curve
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Example Sentences

Examples have not been reviewed.

The photo-op had supplanted policy as the sine qua non of political discourse.

From

I mean, this is us lining up sine waves, “Minority Reportâ€-style, and seeing where a vowel or a syllable is sort of falling out of place and giving the actor’s accent away.

From

Puccini’s heroine here is overwhelmed by oscillating sine waves.

From

The core of the Jan. 6 case is a breathtaking effort to exhort supporters to commit an insurrection and prevent the peaceful transfer of power, the sine qua non of a democracy.

From

“I said, ’Cause, man, No. 1: we sculpt an electronic signal into a sine wave that’s smooth, or a sawtooth, which is rough.

From

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