cosine

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“
The theorems were stated without proof, but proofs for the series for sine, cosine, and inverse tangent were provided a century later in the work Yuktibhasa (c. 1500-c.1610), written in Malayalam, by Jyesthadeva, and also in a commentary on Tantrasangraha.

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Definitions (7)

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  1. noun In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
  2. noun The abscissa at 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.

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Examples (50)

  • He was director of thirty or more great corporations with assets of twenty billion dollars, even though he still didn't know what a cosine was. —  June, 1943
  • He was Skiddy Merton, old Skiddy with his amiable bubble brain, who didn't know what a cosine was yet, but had made a pile of money on the market, more even than Butch Sundersohr. —  June, 1943
  • Because complex numbers can be represented in both polar and rectangular notation, we can represent our polar ej2πfot quadrature signal (using one of Leonhard Euler's identities) in rectangular form as: above tells us that as ej2πfotrotates around the origin, its real part, its East-West distance from the origin, varies as a cosine wave. —  EE Times-Asia
  • Next, we connect coax cables to the generators 'output connectors and run those two cables, labeled "Cosine" for our cosine signal and "Sine" for our sinewave signal, down the hall to their destination. —  EE Times-Asia
  • So, if the current is sinusoidal, you know the derivative of a sine to be a cosine, which is 90° out of phase.
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Etymologies (1)

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  1. from co- + sine. A word invented by the English mathematician Edmund Gunter about 1620.
 

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/ˈkoʊsaɪn/
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