arcsines
|arc-sines|
🇺🇸
/ˈɑɹk.saɪnz/
🇬🇧
/ˈɑːk.saɪnz/
(arcsine)
inverse of sine
Etymology
'arcsine' originates from English as a compound of 'arc' + 'sine', where 'arc' ultimately derives from Latin 'arcus' meaning 'bow, arc' and 'sine' comes via Medieval Latin 'sinus' (used in mathematical contexts) meaning 'fold' or 'bay' and later used to denote the sine function.
'arcsine' developed from the mathematical phrase 'arc sine' (literally the arc corresponding to a sine) used in earlier mathematical texts and later became established in modern English as the single word 'arcsine'.
Initially the term referred specifically to the arc (geometric arc) corresponding to a given sine; over time it expanded to denote the inverse sine function and its numeric values (angles) in modern mathematical usage.
Meanings by Part of Speech
Noun 1
plural form of 'arcsine'. An 'arcsine' (often written 'arcsin') is the inverse sine function or an angle θ whose sine equals a given number x (for x in [-1, 1]); thus 'arcsines' refers to multiple such angles or values.
The arcsines of 0.5 and -0.5 are approximately 0.5236 and -0.5236 radians.
Synonyms
Last updated: 2025/10/09 09:42