Sine
Pronunciation
- enPR: sīn, 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)- (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.
Synonyms
- Symbol: sin