• Sine

    Pronunciation

    • enPR: sÄ«n, IPA: /saɪn/
    • Homophones: sign
    • Rhymes: -aɪn

    Origin

    From Latin sinus, originally by mistranslation of Arabic جب. Ultimately from Sanskrit.

    Full definition of sine

    Noun

    sine

    (plural sines)
    1. (trigonometry, mathematics) In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse.

    Usage notes

    In various branches of mathematics, the sine of an angle is determined in various ways, including the following:

    The y-coordinate of the point on the unit circle at the given anticlockwise angle from the x-axis.

    The sum of the real or complex power series


         

    \sum_{n=1}^\infty\over{(2n-1)!}x^{2n-1} = x - {1\over 6} x^3 + {1\over 120} x^5 - {1\over 5040} x^7 + ...


    where x is in radians.

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