What is sine

Accessed 13 Nov. See the full definition for sine in the English Language Learners Dictionary. Britannica English: Translation of sine for Arabic Speakers. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! Log in Sign Up. Save Word. Definition of sine.

Examples of sine in a Sentence Recent Examples on the Web In , Joseph Fourier discovered that any periodic function — an equation whose values repeat cyclically — could be expressed as the sum of trigonometric functions like sine and cosine.

First Known Use of sine , in the meaning defined at sense 1. History and Etymology for sine Medieval Latin sinus , from Latin, curve. Learn More About sine. O pulerae sine luxes aedes, vitaeque decore Splendida paupertas ingenuusque pudor!

New Word List Word List. Save This Word! Abbreviation : sin. Compare cosine def. We could talk until we're blue in the face about this quiz on words for the color "blue," but we think you should take the quiz and find out if you're a whiz at these colorful terms. Words nearby sine Sindbis fever , Sindbis virus , Sindhi , sindon , sindonology , sine , sinecure , sine curve , sine die , Sinemet , sine prole. How to use sine in a sentence In contrast, some inexpensive models output a simulated sine wave form, which can be problematic for some higher-end gaming laptops and audio gear.

A related function known as the hyperbolic sine is similarly defined,. It is also given by the imaginary part of the complex exponential. The multiplicative inverse of the sine function is the cosecant , defined as. The derivative of is. The sum of can also be done in closed form,. Edwards , pp. Another product formula is. It is related to via. A continued fraction representation of is. The value of is irrational for all integers except 2, 4, and 12, for which , , and , respectively, a result that is essentially known as Niven's theorem.

The Fourier transform of is given by. A definite integral involving is given by. Mabry, pers. Drane, pers. Abramowitz, M. New York: Dover, pp. Beylkin, G.

USA 99 , , Beyer, W. Borwein, J. Experimentation in Mathematics: Computational Paths to Discovery. Calogero, F. Edwards, H.